{"id":51839,"date":"2021-06-30T16:54:43","date_gmt":"2021-06-30T19:54:43","guid":{"rendered":"https:\/\/blog.estrategiavestibulares.com.br\/?p=51839"},"modified":"2024-02-20T14:55:27","modified_gmt":"2024-02-20T17:55:27","slug":"seno-cosseno-tangente","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/","title":{"rendered":"Seno, cosseno e tangente: como calcular, tabela e formulas"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Compreender a matem&aacute;tica e a <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/teorema-fundamental-da-algebra\/\" target=\"_blank\">&aacute;lgebra <\/a>pode ser um desafio para os vestibulandos. A geometria com seus tri&acirc;ngulos, <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/area-do-trapezio\/\">&aacute;reas<\/a>, volumes, <span id=\"urn:enhancement-92fbc353-dae2-4aa4-8817-775e119b866e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">seno<\/span>, <span id=\"urn:enhancement-18e8c3fb-4518-4344-a9d0-80632584c2dc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cosseno<\/span> e <span id=\"urn:enhancement-b14208d9-8a02-4d88-836b-c1daa8a5014f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/tangente\">tangente<\/span> assustam por serem conte&uacute;dos muito cobrados e muito l&oacute;gicos.<p class=\"wp-block-paragraph\">Justamente para facilitar esse processo o Estrat&eacute;gia Vestibulares preparou um resumo com as principais informa&ccedil;&otilde;es sobre raz&otilde;es trigonom&eacute;tricas.<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/#O-que-e-um-triangulo-retangulo\" >O que &eacute; um tri&acirc;ngulo ret&acirc;ngulo?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/#Seno\" >Seno&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/#Cosseno\" >Cosseno<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/#Tangente\" >Tangente<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/#Relacao-entre-seno-cosseno-e-tangente\" >Rela&ccedil;&atilde;o entre seno, cosseno e tangente<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/#Tabela-trigonometrica\" >Tabela trigonom&eacute;trica<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/#Como-calcular-as-razoes-trigonometricas\" >Como calcular as raz&otilde;es trigonom&eacute;tricas?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/seno-cosseno-tangente\/#Veja-tambem\" >Veja tamb&eacute;m:<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-o-que-e-um-triangulo-retangulo\"><span class=\"ez-toc-section\" id=\"O-que-e-um-triangulo-retangulo\"><\/span>O que &eacute; um tri&acirc;ngulo ret&acirc;ngulo?<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Para compreender melhor as raz&otilde;es trigonom&eacute;tricas &eacute; necess&aacute;rio saber os conceitos do <span id=\"urn:enhancement-33dd1782-f20f-48d7-bef6-3ebc83ac3a63\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span>.&nbsp;<\/p><p class=\"wp-block-paragraph\">Esse <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/semelhanca-de-triangulos\/\" target=\"_blank\">tri&acirc;ngulo <\/a>&eacute; especial porque possui um <span id=\"urn:enhancement-439b15dd-0f83-4289-8300-d04773fef724\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> de 90&ordm;.&nbsp;<\/p><p class=\"wp-block-paragraph\">Ao lembrar que a <strong>soma dos &acirc;ngulos internos de um <span id=\"urn:enhancement-810e002b-32ba-411f-a1cb-b052ff3cb753\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span><\/strong> &eacute; dada por <strong>S=(n-2)*180<\/strong>, em que n &eacute; o n&uacute;mero de lados do <span id=\"urn:enhancement-6ec56283-22a7-4a21-8235-7e6d978e34ae\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/poligono\">pol&iacute;gono<\/span>, voc&ecirc; perceber&aacute; que:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><em>S<sub><span id=\"urn:enhancement-884444ec-5118-469a-b725-26dd1b2c61db\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">tri&acirc;ngulo<\/span><\/sub>= (3-2)*180&nbsp;<\/em><br><strong><em>S<sub><span id=\"urn:enhancement-2491648c-83b8-414f-a437-58f31a4e7367\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">tri&acirc;ngulo<\/span><\/sub>= 180<\/em><\/strong><em>&nbsp;<\/em><\/p><p class=\"wp-block-paragraph\">Mas o que isso significa? Bom, se um <span id=\"urn:enhancement-94bcd4d1-31d9-4c96-a26f-9005d2fe587d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span> tem sempre um <span id=\"urn:enhancement-c3a6d1d4-2cae-4567-bff1-b3d7dff90f8b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> de 90&ordm;, voc&ecirc; pode perceber que a soma dos outros &acirc;ngulos ser&aacute; de 90&ordm; tamb&eacute;m!<\/p><p class=\"wp-block-paragraph\">Veja a imagem abaixo:<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/Wdr3JqfJn01FK4vCmUelraoh8aKsbxkJqgw_H4L0pIErQAAL8mw9sLx-F4wMR-lB06C_EjGiefLyyOs34Z2xZGAMcWbW9le-ay3CLPF6bBCg428ePRVUmn1JtJy-hKb2jXy4R2PU\" alt=\"Seno e cosseno - triangulo\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Agora que voc&ecirc; j&aacute; entende o que &eacute; um <span id=\"urn:enhancement-478f18d1-7498-418f-a98b-9551dabe90e3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span>, tome um <span id=\"urn:enhancement-b1b64d20-816b-4a3f-a6ce-ca655340c587\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> como refer&ecirc;ncia e preste aten&ccedil;&atilde;o nesses conceitos.&nbsp;<\/p><ul class=\"wp-block-list\">\n<li><strong>Hipotenusa: <\/strong>lado do <span id=\"urn:enhancement-1c760036-2905-485a-95d8-2160a4f5bb4d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span> que est&aacute; oposto ao &acirc;ngulo de 90&ordm;;<\/li>\n\n\n\n<li><strong>Cateto Adjacente: <\/strong>lado do <span id=\"urn:enhancement-baec94af-c5b8-4aee-959c-995507c43bca\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span> que est&aacute; colado\/adjacente\/junto com o &acirc;ngulo refer&ecirc;ncia; e<\/li>\n\n\n\n<li><strong>Cateto Oposto: <\/strong>lado do <span id=\"urn:enhancement-a8dacc95-ce84-4f78-b508-e1d13b39fcdf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span> que est&aacute; oposto\/do outro lado do &acirc;ngulo de refer&ecirc;ncia.<\/li>\n<\/ul><p class=\"wp-block-paragraph\">Veja a figura abaixo:<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/aU_peU9NCOfkH_PmTRTwrDSCIPas5xe3rhhY4TDzjE6n-Rt-TtDJLMMITTWCdfF2sZGYG6c8oB70gG0tc-yyt_9HKiezvZE2MVId-JNP-01dGW1jnZgBCxdcNhpuo0vkaGDXTGst\" alt=\"Tri&acirc;ngulo retangulo\"><\/figure>\n<\/div><h2 class=\"wp-block-heading\" id=\"h-seno-nbsp\"><span class=\"ez-toc-section\" id=\"Seno\"><\/span>Seno&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A <span id=\"urn:enhancement-9136d57d-ea09-459f-800a-50b95f779bba\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> entre o <span id=\"urn:enhancement-33dbbc43-265e-4341-845a-1e022a106ffd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> oposto ao <span id=\"urn:enhancement-0de252f1-1143-4b4b-ad7e-917a53597db3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> e sua <span id=\"urn:enhancement-3bcfef10-414a-4531-949e-c8e3071db238\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span> nos fornece o <span id=\"urn:enhancement-a93d13b0-ef55-488d-a56c-bebbcb483b08\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">seno<\/span> do <span id=\"urn:enhancement-9b5a03fd-19d4-462a-9043-f56670f64e9c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> (<span id=\"urn:enhancement-a0ae92a0-0d9e-4363-99f2-b33d6f4df30b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span>).&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong><span id=\"urn:enhancement-9fa75a78-d4e9-4a6c-a7a3-3bb9736ce2f2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> &alpha; = <span id=\"urn:enhancement-939e80d4-ef43-4ec6-a303-e58e87a04e6b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> oposto \/ <span id=\"urn:enhancement-5c1750bd-1be3-4f78-84c8-e0a337e747c3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span><\/strong><\/p><p class=\"wp-block-paragraph\">Por exemplo, observe o <span id=\"urn:enhancement-fd8d733e-b824-42ce-9d6c-223bd0c6bbb0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span> abaixo em que a <span id=\"urn:enhancement-d310185e-55fa-4349-9080-716e5f7f6693\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span> vale 5, e os catetos valem 3 e 4:<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/I53GT6i-OZ_b_ZIkN_tpsyQL0dgB1hpBdMwAyA6wihgan0Ni9KZ_pxx3_Wxi3LKE5io2yptFqF8_zN5O_Q5y1K58vGBIW3nFa5-GMapTmMUedD5nHIdBw-B1e5rx6PZ3njCwpXvH\" alt=\"Seno, cosseno e tangente\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Perceba que:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong><span id=\"urn:enhancement-a1206e67-b02f-47fd-8230-fa19fa7a44ff\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> A =&nbsp; <span id=\"urn:enhancement-82c07386-3d45-47cc-a4ca-fb018bfe1cc9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> oposto \/ <span id=\"urn:enhancement-49017a03-30b7-4a27-8e73-c526c9f825a1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span>&nbsp;<\/strong><br><strong><span id=\"urn:enhancement-c02a6f5b-d381-4360-bd09-9f61bb0ce450\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> A = 4\/5<\/strong><br><strong><span id=\"urn:enhancement-de146e90-893d-46f1-aa96-80af2269dd58\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> A = 0,8<\/strong><\/p><p class=\"wp-block-paragraph\">Para saber qual o valor do <span id=\"urn:enhancement-34d8822f-ca8c-4345-86cd-1e0ffdae75ae\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> A, voc&ecirc; pode conferir a tabela trigonom&eacute;trica, que ser&aacute; referida mais adiante neste artigo.<\/p><h2 class=\"wp-block-heading\" id=\"h-cosseno\"><span class=\"ez-toc-section\" id=\"Cosseno\"><\/span>Cosseno<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">J&aacute; a <span id=\"urn:enhancement-180197b4-2eca-4308-9901-589eb1b39be5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> entre o <span id=\"urn:enhancement-a06bc698-1c35-470e-8e3c-370639ad7353\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> adjacente ao <span id=\"urn:enhancement-ba346ca9-f326-41d4-8600-47561cc18bf5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> e sua <span id=\"urn:enhancement-bb10dbeb-c9fa-4aab-badd-fbf6ebfde2ee\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span> nos fornece o <strong><span id=\"urn:enhancement-51c6adab-b89b-45a7-b6cf-1cb1e782bafe\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cosseno<\/span> <\/strong>do <span id=\"urn:enhancement-692c0bc9-ee8d-48cd-87f3-f2f062c5d61f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> (<span id=\"urn:enhancement-08d4e5c1-e98b-47c8-b550-eb9428ad7fed\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span>).&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong><span id=\"urn:enhancement-47de63d2-e338-47a3-90db-581079601688\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span> &alpha; = <span id=\"urn:enhancement-6818ca47-fd7a-4dfd-83ea-cc1e423699b8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> adjacente \/ <span id=\"urn:enhancement-4ca48468-240d-4137-90b9-282dca50894f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span><\/strong><\/p><p class=\"wp-block-paragraph\">Utilizando o mesmo <span id=\"urn:enhancement-bb161c20-d21c-4386-80d6-4d3bf8b4325f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span> do t&oacute;pico anterior:<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/CmxuiF0YDYgJnmvuWIg2zGmWTEa5lhOEPjdUgIzQEX_1vpZkiG8YLVgXe8lzUYjGfxqyRP50TjOieD-xGPJpR5JsMyl5X_ErPIHTngtC0Mx697hLOuG7KRplhraO7umvqp6ifaAh\" alt=\"Seno, cosseno e tangente\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Perceba que:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong><span id=\"urn:enhancement-65d62cf5-a9e2-4514-b696-af64cf36fe21\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span> A =&nbsp; <span id=\"urn:enhancement-6cfb22d8-6982-4f04-a6dc-97c0e4454096\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> adjacente \/ <span id=\"urn:enhancement-32b369c9-da61-43af-8a7c-7dcf58c19e48\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span>&nbsp;<\/strong><br><strong><span id=\"urn:enhancement-3787b33c-4d8f-4915-99ec-69513f3491d5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> A =3\/5<\/strong><br><strong><span id=\"urn:enhancement-1d5c8212-bf83-4a13-85f8-111e003f367d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> A = 0,6<\/strong><\/p><h2 class=\"wp-block-heading\" id=\"h-tangente\"><span class=\"ez-toc-section\" id=\"Tangente\"><\/span>Tangente<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Por sua vez, a <span id=\"urn:enhancement-8d8cbfbe-e6a4-4285-aba7-3a309467199a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/divisao\">divis&atilde;o<\/span> entre o <span id=\"urn:enhancement-68baed83-0535-4290-acf3-489eff7b8b1f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> oposto e o <span id=\"urn:enhancement-0a7eb769-88dc-4a7c-97eb-3fd1fae5af33\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> adjacente ao <span id=\"urn:enhancement-e8e8d4aa-9704-47db-9971-1c03bc02b0ea\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> resulta na <strong><span id=\"urn:enhancement-a278f057-f19a-4575-8d73-5dec38754963\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/tangente\">tangente<\/span> <\/strong>do <span id=\"urn:enhancement-381188bb-c1a5-4ea5-a8e1-9962dbb7c39c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> (tan).&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>tan &alpha; = <span id=\"urn:enhancement-2f6fbaa4-e531-41ea-aad3-ef226c68c115\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> oposto \/ <span id=\"urn:enhancement-b3622a31-b906-44df-b43a-f84204b333df\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> adjacente&nbsp;<\/strong><\/p><p class=\"wp-block-paragraph\">Ainda com o <span id=\"urn:enhancement-07ec38f3-86d8-4e12-9cdb-e3411288926f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span> de lados 3,4 e 5:<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/1Da07UMp69il7XGXbcNuSleLT5BQQSDSP3gmUpDOovCQFSSh45ysrDETCTGT4kzDETgiWInWcfjC_6A3fbFi9-phji9jjdqJWAbHZ1Cg0H2oufs-u62cz4-KvXO5vD4j3c5DZVJQ\" alt=\"Seno, cosseno e tangente - EV\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Note que:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>tan A =&nbsp; <span id=\"urn:enhancement-654d86b4-fe2b-4d51-8720-147f1074e48c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> oposto\/ <span id=\"urn:enhancement-bfaf1542-ec20-43b3-8ef7-1ecb1f74ca45\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> adjacente&nbsp;<\/strong><br><strong><span id=\"urn:enhancement-fcb5b51a-0877-4190-917e-4e9615612f51\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> A =4\/3<\/strong><br><strong><span id=\"urn:enhancement-d01295c5-a6c3-47ed-9c53-46fe7a11fa55\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> A = 1,33<\/strong><\/p><h2 class=\"wp-block-heading\" id=\"h-relacao-entre-seno-cosseno-e-tangente\"><span class=\"ez-toc-section\" id=\"Relacao-entre-seno-cosseno-e-tangente\"><\/span>Rela&ccedil;&atilde;o entre seno, cosseno e tangente<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">A rela&ccedil;&atilde;o entre <span id=\"urn:enhancement-c75fd05f-176f-4b93-8c4a-fbc0ea827b0d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">seno<\/span> <span id=\"urn:enhancement-6d5461c8-1820-487b-abbd-b0770384f945\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cosseno<\/span> e <span id=\"urn:enhancement-64e0f1d1-0c71-49d6-95d0-67af30c398d0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/tangente\">tangente<\/span> pode ser interessante para a resolu&ccedil;&atilde;o de exerc&iacute;cios. Por exemplo, os c&aacute;lculos matem&aacute;ticos podem provar que&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>(<span id=\"urn:enhancement-7de51506-72e3-428e-92b7-1453affa94e5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span> &alpha;)<\/strong><strong><sup>2 <\/sup><\/strong><strong>+ (<span id=\"urn:enhancement-b112a32d-0893-455a-8866-0f19c5f54983\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> &alpha;)<\/strong><strong><sup>2 <\/sup><\/strong><strong>= 1<\/strong><\/p><p class=\"has-text-align-center wp-block-paragraph\">Ao mesmo tempo, &eacute; importante saber que para &acirc;ngulos que somados s&atilde;o iguais a 90&ordm;, o <span id=\"urn:enhancement-9e4cccc0-6f3f-4010-b51f-ae2d222dc930\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">seno<\/span> de um <span id=\"urn:enhancement-1936b220-a644-4a28-ab92-44b5ab8e6ac2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> &eacute; igual ao <span id=\"urn:enhancement-f44f74bc-8f97-45c2-8bd6-c4ba45d9221f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cosseno<\/span> do outro <span id=\"urn:enhancement-d967c714-22b7-475b-9388-a997de5ecebb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span>. Veja:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>30&ordm; + 60&ordm; = 90&ordm;, ent&atilde;o&nbsp;<\/strong><br><strong><span id=\"urn:enhancement-7ec1fd2e-fe92-478f-a339-196cf06410d8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> 30&ordm; = <span id=\"urn:enhancement-297c09cd-9f83-4c2e-96cc-10bc7b8a9bdb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span> 60&ordm;&nbsp;<\/strong><br><strong><span id=\"urn:enhancement-af9e0bf9-22a2-4925-9736-7fd0d4982cd2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> 60&ordm; = <span id=\"urn:enhancement-4b16c843-a7c0-4973-a4a6-b6805dae2752\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span> 30&ordm;<\/strong><\/p><p class=\"wp-block-paragraph\">Voc&ecirc; pode conferir essas informa&ccedil;&otilde;es na tabela trigonom&eacute;trica do t&oacute;pico seguinte.<\/p><h2 class=\"wp-block-heading\" id=\"h-tabela-trigonometrica\"><span class=\"ez-toc-section\" id=\"Tabela-trigonometrica\"><\/span>Tabela trigonom&eacute;trica<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Utilizar as raz&otilde;es trigonom&eacute;tricas pode ser &uacute;til para descobrir o valor do lado de <span id=\"urn:enhancement-fe145354-7973-4cb1-95a6-ec728dadef06\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulos ret&acirc;ngulos<\/span> ou descobrir quais seus &acirc;ngulos internos. Por isso, conhecer a tabela trigonom&eacute;trica pode auxiliar nas contas:<\/p><figure class=\"wp-block-table\"><table><tbody><tr><td><strong><span id=\"urn:enhancement-1ff3b406-3da8-4010-9da7-7d89fe166866\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">Raz&atilde;o<\/span> Trigonom&eacute;tricas<\/strong><\/td><td><strong>30&deg;<\/strong><\/td><td><strong>45&deg;<\/strong><\/td><td><strong>60&deg;<\/strong><\/td><\/tr><tr><td><strong>Seno (<span id=\"urn:enhancement-d6b8f5ac-f910-4a2f-96b6-778259b2c69b\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span>)<\/strong><\/td><td>1\/2<\/td><td>&radic;2\/2<\/td><td>&radic;3\/2<\/td><\/tr><tr><td><strong><span id=\"urn:enhancement-87d1e809-e4bf-43f1-b4a9-8e1ee184d0f1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">Cosseno<\/span> (<span id=\"urn:enhancement-ffe20c9e-896a-4670-bc30-37dcefedfc4f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span>)<\/strong><\/td><td>&radic;3\/2<\/td><td>&radic;2\/2<\/td><td>1\/2<\/td><\/tr><tr><td><strong><span id=\"urn:enhancement-d0dd65af-f5b1-4998-906e-329e90b5d3cb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/tangente\">Tangente<\/span> (tan)<\/strong><\/td><td>&radic;3\/3<\/td><td>1<\/td><td>&radic;3<\/td><\/tr><\/tbody><\/table><\/figure><h2 class=\"wp-block-heading\" id=\"h-como-calcular-as-razoes-trigonometricas\"><span class=\"ez-toc-section\" id=\"Como-calcular-as-razoes-trigonometricas\"><\/span>Como calcular as raz&otilde;es trigonom&eacute;tricas?<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Agora que j&aacute; entendemos o que a <span id=\"urn:enhancement-3ef9aa06-8a9f-4541-95cc-249054e12b97\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/razao\">raz&atilde;o<\/span> trigonom&eacute;trica e suas aplica&ccedil;&otilde;es, acompanhe a resolu&ccedil;&atilde;o do exerc&iacute;cio de vestibular a seguir:<\/p><h3 class=\"wp-block-heading\" id=\"h-exercicios-de-seno-cosseno-e-tangente\">Exerc&iacute;cios de seno, cosseno e tangente<\/h3><p class=\"wp-block-paragraph\"><strong>G1 &ndash; IFSP 2014 (adaptada)<\/strong><\/p><p class=\"wp-block-paragraph\">Uma forma pouco conhecida de arte &eacute; a de preenchimento de cal&ccedil;adas com pedras, como vemos na cal&ccedil;ada encontrada em Brazil&acirc;ndia &ndash; DF, conforme a figura.<\/p><div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/yUrW8BnjRw6QuzPZ_3DIOLOf5gwkZeMSr89gu09jkUI4ztvF2LZy0Cs2KFyfEZcX0lDWagyLidbWSTlBTBmFtK23BtuZFQamwqWsWfnhzOmPTzhbrNHrZgQit7kBuC0VUko16xU_\" alt=\"\"><\/figure>\n<\/div><p class=\"wp-block-paragraph\">Em rela&ccedil;&atilde;o ao desenho da cal&ccedil;ada, considere o seguinte:<\/p><p class=\"wp-block-paragraph\">&ndash; todos os tri&acirc;ngulos s&atilde;o ret&acirc;ngulos;<br>&ndash; cada <span id=\"urn:enhancement-735e3e5b-4e0d-4e9a-979a-ccae7a968466\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">tri&acirc;ngulo<\/span> possui um <span id=\"urn:enhancement-384c1add-79d7-4541-80b8-83d7158f305d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> de 30&deg;; e<br>&ndash; a <span id=\"urn:enhancement-9740b2eb-977f-4c3c-addf-deef87e4edbd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span> de cada <span id=\"urn:enhancement-8ff01b9f-a0b0-4d49-8f71-afda8c5fbcf4\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">tri&acirc;ngulo<\/span> mede 100 cm.<\/p><p class=\"wp-block-paragraph\">Com base nas informa&ccedil;&otilde;es acima, qual o valor dos catetos de cada <span id=\"urn:enhancement-67e79b22-377f-4266-838e-94cc7431a79a\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulo-2\">tri&acirc;ngulo<\/span>, em cm?<\/p><p class=\"wp-block-paragraph\"><strong>RESOLU&Ccedil;&Atilde;O<\/strong><\/p><p class=\"wp-block-paragraph\">Considerando os dados do enunciado, pode-se construir um esquema de <span id=\"urn:enhancement-9c623537-ff2b-4f4d-b951-499187e59b16\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/triangulos-retangulos\">tri&acirc;ngulo ret&acirc;ngulo<\/span>:<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/Wosae4BkvIpArljdAVPn2mJ_JdbDXgh_RYXdYlPSBOXojwTKsYydxujXCoZi3zkJIef_DfWB5e2IJNdDwv2UQ_1lsTmcDjVeXuwJccTjrADgo-iCk0bHraHIhVJO0dzlw_Jvx5R1\" alt=\"\"><\/figure><p class=\"wp-block-paragraph\">Partindo desse <span id=\"urn:enhancement-5d6d2698-a2df-419a-818d-5b5bf8b50693\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/pontos\">ponto<\/span>, pode-se usar a tabela trigonom&eacute;trica para descobrir que o<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong><span id=\"urn:enhancement-12636cc2-aec8-46c3-98c6-f614b1307d5e\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> 30&ordm; = 1\/2<\/strong><\/p><p class=\"wp-block-paragraph\">Com isso, aplica-se a f&oacute;rmula de <span id=\"urn:enhancement-f7035d47-1e6b-4f5a-8b74-e947ef09fa26\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">seno<\/span>:&nbsp;<\/p><p class=\"has-text-align-center wp-block-paragraph\">&nbsp;<em><span id=\"urn:enhancement-ea600b3b-5fde-424a-b6da-81848607e703\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/sen\">sen<\/span> 30&ordm; =&nbsp; <span id=\"urn:enhancement-f4672083-5f8f-4288-9bc4-ebf6c393e618\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> oposto \/ <span id=\"urn:enhancement-b73bce35-fa7c-436d-95f6-a1309df3d04a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span>&nbsp;<\/em><br><em>1\/2 = <span id=\"urn:enhancement-f69893d9-6474-4ded-a3a7-97ab9fe2e17a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> Y \/100<\/em><\/p><p class=\"wp-block-paragraph\">Por meio de uma <span id=\"urn:enhancement-14bd1056-7059-4879-a2c4-ab8f407dffa9\" class=\"textannotation disambiguated wl-creative-work\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/equacao\">equa&ccedil;&atilde;o<\/span> de primeiro grau, pode-se notar que o <strong><span id=\"urn:enhancement-4fbb902e-e517-4355-97d8-e93cb6858798\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> Y (oposto ao <span id=\"urn:enhancement-3be6fa72-7d22-4cf9-b016-beee400be4a8\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/angulo\">&acirc;ngulo<\/span> de 30&ordm;) tem 50 cm.<\/strong><\/p><p class=\"wp-block-paragraph\">Em seguida, com aux&iacute;lio da tabela trigonom&eacute;trica conclu&iacute;mos que <strong><span id=\"urn:enhancement-0b544806-2aea-48bc-83de-d2fa2c008ef3\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span> 30&ordm; = &radic;3\/2. <\/strong>Ent&atilde;o, utiliza-se a f&oacute;rmula do <span id=\"urn:enhancement-ded505fb-7a54-48dd-b259-c45a54a34baa\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cosseno<\/span>:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><em><span id=\"urn:enhancement-0eb85c08-543d-4406-9e56-34a461d348af\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cosseno\">cos<\/span> 30&ordm; =&nbsp; <span id=\"urn:enhancement-320d4782-a4b9-44ca-92a3-c43ef5c15dfd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> adjacente \/ <span id=\"urn:enhancement-8efe52ef-b35e-47d0-9275-2302a0ccccb2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/hipotenusa\">hipotenusa<\/span>&nbsp;<\/em><br><em>&radic;3\/2 = <span id=\"urn:enhancement-a48bf40e-ccec-4b7a-9329-d2d6a11252bf\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> X\/100<\/em><\/p><p class=\"wp-block-paragraph\">Por meio da resolu&ccedil;&atilde;o de inc&oacute;gnitas, percebemos que <strong><span id=\"urn:enhancement-70aa194d-7595-439a-90f6-7037237f9e81\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/cateto\">cateto<\/span> X= 50&radic;3 cm.<\/strong><\/p><p class=\"wp-block-paragraph\">Gosta de matem&aacute;tica? Acompanhe o <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/category\/matematica\/\" target=\"_blank\">Blog do Estrat&eacute;gia Vestibulares<\/a> e assista nossas aulas de matem&aacute;ticas no Youtube!<\/p><figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"cs-embed cs-embed-responsive\"><iframe title=\"Matem&aacute;tica para ENEM\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/mb-9Yexvn-M?list=PLP9omXFzW_n_UkrDG3o5JtOWR49T3NOE8\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/div>\n<\/div><\/figure><p class=\"wp-block-paragraph\">Para conhecer nossos cursos pr&eacute;-vestibulares, clique no banner abaixo:<\/p><p class=\"wp-block-paragraph\"><a id=\"cta\" class=\"cta-imagem\" href=\"https:\/\/vestibulares.estrategia.com\/cursos\/\" target=\"blank\">\n                <img decoding=\"async\" width=\"100%\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2021\/12\/EV4.jpg\" alt=\"CTA - Estrat\u00e9gia Vestibulares 4\" title=\"CTA - Estrat\u00e9gia Vestibulares 4\">\n        <\/a>\n\n\n\n<\/p><h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Veja-tambem\"><\/span>Veja tamb&eacute;m:<span class=\"ez-toc-section-end\"><\/span><\/h2><ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/trigonometria\/\">Trigonometria: defini&ccedil;&atilde;o e principais conceitos!<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/matematica\/circulo-trigonometrico\/\">C&iacute;rculo trigonom&eacute;trico: o que &eacute;, exemplos, usos e aplica&ccedil;&otilde;es<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/aproximacao-senx-tgx-x-e-suas-aplicacoes-no-vestibular\/\">Aproxima&ccedil;&atilde;o sen(x) = tg(x) = xe suas aplica&ccedil;&otilde;es no vestibular<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/prova-matematica-fuvest-2020\/\">Prova de matem&aacute;tica Fuvest 2020 com Resolu&ccedil;&atilde;o Comentada<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/prova-matematica-2-fase-unicamp-2020\/\">Resolu&ccedil;&atilde;o da prova de Matem&aacute;tica da 2&ordf; Fase da Unicamp 2020<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/prova-matematica-unesp-2020\/\">Prova de Matem&aacute;tica UNESP 2020 com Resolu&ccedil;&atilde;o Comentada<\/a>&nbsp;<\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/operacoes-com-arcos\/\">Opera&ccedil;&otilde;es com arcos: o que s&atilde;o, ciclo trigonom&eacute;trico e como fazer<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/funcoes-trigonometricas\/\">Fun&ccedil;&otilde;es trigonom&eacute;tricas: f&oacute;rmulas, gr&aacute;ficos e aplica&ccedil;&otilde;es<\/a><\/li>\n<\/ul><\/p>\n","protected":false},"excerpt":{"rendered":"Compreender a matem&aacute;tica e a &aacute;lgebra pode ser um desafio para os vestibulandos. A geometria com seus tri&acirc;ngulos,&hellip;\n","protected":false},"author":23,"featured_media":51840,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29],"tags":[],"class_list":["post-51839","post","type-post","status-publish","format-standard","has-post-thumbnail","category-matematica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v28.2) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Seno, cosseno e tangente: como calcular, tabela e formulas<\/title>\n<meta name=\"description\" content=\"Conhe\u00e7as as raz\u00f5es trigonom\u00e9tricas: seno, cosseno e tangente. 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