{"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>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, seno, cosseno e tangente assustam por serem conte&uacute;dos muito cobrados e muito l&oacute;gicos.<p>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_76 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>Para compreender melhor as raz&otilde;es trigonom&eacute;tricas &eacute; necess&aacute;rio saber os conceitos do tri&acirc;ngulo ret&acirc;ngulo.&nbsp;<\/p><p>Esse <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/matematica\/semelhanca-de-triangulos\/\" target=\"_blank\">tri&acirc;ngulo <\/a>&eacute; especial porque possui um &acirc;ngulo de 90&ordm;.&nbsp;<\/p><p>Ao lembrar que a <strong>soma dos &acirc;ngulos internos de um pol&iacute;gono<\/strong> &eacute; dada por <strong>S=(n-2)*180<\/strong>, em que n &eacute; o n&uacute;mero de lados do pol&iacute;gono, voc&ecirc; perceber&aacute; que:<\/p><p class=\"has-text-align-center\"><em>S<sub>tri&acirc;ngulo<\/sub>= (3-2)*180&nbsp;<\/em><br><strong><em>S<sub>tri&acirc;ngulo<\/sub>= 180<\/em><\/strong><em>&nbsp;<\/em><\/p><p>Mas o que isso significa? Bom, se um tri&acirc;ngulo ret&acirc;ngulo tem sempre um &acirc;ngulo de 90&ordm;, voc&ecirc; pode perceber que a soma dos outros &acirc;ngulos ser&aacute; de 90&ordm; tamb&eacute;m!<\/p><p>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><\/div><p>Agora que voc&ecirc; j&aacute; entende o que &eacute; um tri&acirc;ngulo ret&acirc;ngulo, tome um &acirc;ngulo 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 tri&acirc;ngulo ret&acirc;ngulo que est&aacute; oposto ao &acirc;ngulo de 90&ordm;;<\/li>\n\n\n\n<li><strong>Cateto Adjacente: <\/strong>lado do tri&acirc;ngulo ret&acirc;ngulo 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 tri&acirc;ngulo ret&acirc;ngulo que est&aacute; oposto\/do outro lado do &acirc;ngulo de refer&ecirc;ncia.<\/li>\n<\/ul><p>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><\/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>A raz&atilde;o entre o cateto oposto ao &acirc;ngulo e sua hipotenusa nos fornece o seno do &acirc;ngulo (sen).&nbsp;<\/p><p class=\"has-text-align-center\"><strong>sen &alpha; = cateto oposto \/ hipotenusa<\/strong><\/p><p>Por exemplo, observe o tri&acirc;ngulo ret&acirc;ngulo abaixo em que a hipotenusa 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><\/div><p>Perceba que:<\/p><p class=\"has-text-align-center\"><strong>sen A =&nbsp; cateto oposto \/ hipotenusa&nbsp;<\/strong><br><strong>sen A = 4\/5<\/strong><br><strong>sen A = 0,8<\/strong><\/p><p>Para saber qual o valor do &acirc;ngulo 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>J&aacute; a raz&atilde;o entre o cateto adjacente ao &acirc;ngulo e sua hipotenusa nos fornece o <strong>cosseno <\/strong>do &acirc;ngulo (cos).&nbsp;<\/p><p class=\"has-text-align-center\"><strong>cos &alpha; = cateto adjacente \/ hipotenusa<\/strong><\/p><p>Utilizando o mesmo tri&acirc;ngulo ret&acirc;ngulo 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><\/div><p>Perceba que:<\/p><p class=\"has-text-align-center\"><strong>cos A =&nbsp; cateto adjacente \/ hipotenusa&nbsp;<\/strong><br><strong>sen A =3\/5<\/strong><br><strong>sen 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>Por sua vez, a divis&atilde;o entre o cateto oposto e o cateto adjacente ao &acirc;ngulo resulta na <strong>tangente <\/strong>do &acirc;ngulo (tan).&nbsp;<\/p><p class=\"has-text-align-center\"><strong>tan &alpha; = cateto oposto \/ cateto adjacente&nbsp;<\/strong><\/p><p>Ainda com o tri&acirc;ngulo ret&acirc;ngulo 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><\/div><p>Note que:<\/p><p class=\"has-text-align-center\"><strong>tan A =&nbsp; cateto oposto\/ cateto adjacente&nbsp;<\/strong><br><strong>sen A =4\/3<\/strong><br><strong>sen 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>A rela&ccedil;&atilde;o entre seno cosseno e tangente 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\"><strong>(cos &alpha;)<\/strong><strong><sup>2 <\/sup><\/strong><strong>+ (sen &alpha;)<\/strong><strong><sup>2 <\/sup><\/strong><strong>= 1<\/strong><\/p><p class=\"has-text-align-center\">Ao mesmo tempo, &eacute; importante saber que para &acirc;ngulos que somados s&atilde;o iguais a 90&ordm;, o seno de um &acirc;ngulo &eacute; igual ao cosseno do outro &acirc;ngulo. Veja:<\/p><p class=\"has-text-align-center\"><strong>30&ordm; + 60&ordm; = 90&ordm;, ent&atilde;o&nbsp;<\/strong><br><strong>sen 30&ordm; = cos 60&ordm;&nbsp;<\/strong><br><strong>sen 60&ordm; = cos 30&ordm;<\/strong><\/p><p>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>Utilizar as raz&otilde;es trigonom&eacute;tricas pode ser &uacute;til para descobrir o valor do lado de tri&acirc;ngulos ret&acirc;ngulos 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>Raz&atilde;o 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 (sen)<\/strong><\/td><td>1\/2<\/td><td>&radic;2\/2<\/td><td>&radic;3\/2<\/td><\/tr><tr><td><strong>Cosseno (cos)<\/strong><\/td><td>&radic;3\/2<\/td><td>&radic;2\/2<\/td><td>1\/2<\/td><\/tr><tr><td><strong>Tangente (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>Agora que j&aacute; entendemos o que a raz&atilde;o 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><strong>G1 &ndash; IFSP 2014 (adaptada)<\/strong><\/p><p>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><\/div><p>Em rela&ccedil;&atilde;o ao desenho da cal&ccedil;ada, considere o seguinte:<\/p><p>&ndash; todos os tri&acirc;ngulos s&atilde;o ret&acirc;ngulos;<br>&ndash; cada tri&acirc;ngulo possui um &acirc;ngulo de 30&deg;; e<br>&ndash; a hipotenusa de cada tri&acirc;ngulo mede 100 cm.<\/p><p>Com base nas informa&ccedil;&otilde;es acima, qual o valor dos catetos de cada tri&acirc;ngulo, em cm?<\/p><p><strong>RESOLU&Ccedil;&Atilde;O<\/strong><\/p><p>Considerando os dados do enunciado, pode-se construir um esquema de tri&acirc;ngulo ret&acirc;ngulo:<\/p><figure class=\"wp-block-image\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/Wosae4BkvIpArljdAVPn2mJ_JdbDXgh_RYXdYlPSBOXojwTKsYydxujXCoZi3zkJIef_DfWB5e2IJNdDwv2UQ_1lsTmcDjVeXuwJccTjrADgo-iCk0bHraHIhVJO0dzlw_Jvx5R1\" alt=\"\"><\/figure><p>Partindo desse ponto, pode-se usar a tabela trigonom&eacute;trica para descobrir que o<\/p><p class=\"has-text-align-center\"><strong>sen 30&ordm; = 1\/2<\/strong><\/p><p>Com isso, aplica-se a f&oacute;rmula de seno:&nbsp;<\/p><p class=\"has-text-align-center\">&nbsp;<em>sen 30&ordm; =&nbsp; cateto oposto \/ hipotenusa&nbsp;<\/em><br><em>1\/2 = cateto Y \/100<\/em><\/p><p>Por meio de uma equa&ccedil;&atilde;o de primeiro grau, pode-se notar que o <strong>cateto Y (oposto ao &acirc;ngulo de 30&ordm;) tem 50 cm.<\/strong><\/p><p>Em seguida, com aux&iacute;lio da tabela trigonom&eacute;trica conclu&iacute;mos que <strong>cos 30&ordm; = &radic;3\/2. <\/strong>Ent&atilde;o, utiliza-se a f&oacute;rmula do cosseno:<\/p><p class=\"has-text-align-center\"><em>cos 30&ordm; =&nbsp; cateto adjacente \/ hipotenusa&nbsp;<\/em><br><em>&radic;3\/2 = cateto X\/100<\/em><\/p><p>Por meio da resolu&ccedil;&atilde;o de inc&oacute;gnitas, percebemos que <strong>cateto X= 50&radic;3 cm.<\/strong><\/p><p>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>Para conhecer nossos cursos pr&eacute;-vestibulares, clique no banner abaixo:<\/p><p>\n\n\n\n\n\n\n\n<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":{"wl_entities_gutenberg":"","footnotes":""},"categories":[29],"tags":[],"wl_entity_type":[732],"class_list":{"0":"post-51839","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-matematica","8":"wl_entity_type-article"},"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v25.9 (Yoast SEO v25.9) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\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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