{"id":4660,"date":"2010-10-25T15:17:05","date_gmt":"2010-10-25T14:17:05","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4660"},"modified":"2022-01-13T19:14:22","modified_gmt":"2022-01-13T19:14:22","slug":"calcule-o-valor-exacto-da-expressao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4660","title":{"rendered":"Calcule o valor exato da express\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_4660' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4660' class='GTTabs_curr'><a  id=\"4660_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4660' ><a  id=\"4660_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_4660'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Calcule o valor exato da express\u00e3o: $sen\\,\\frac{13\\pi }{4}+\\cos 5\\pi -tg\\,(-7\\pi )+\\cos (-\\frac{23\\pi }{4})$.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4660' onClick='GTTabs_show(1,4660)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4660'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Ora,<br \/>\n\\[\\begin{array}{*{35}{l}}<br \/>\nsen\\,\\frac{13\\pi }{4}+\\cos 5\\pi -tg\\,(-7\\pi )+\\cos (-\\frac{23\\pi }{4}) &amp; = &amp; sen\\,(2\\pi +\\pi +\\frac{\\pi }{4})+\\cos \\pi -tg\\,(0)+\\cos (-6\\pi +\\frac{\\pi }{4})\u00a0 \\\\<br \/>\n{} &amp; = &amp; -\\,sen\\,(\\frac{\\pi }{4})+\\cos \\pi -tg\\,(0)+\\cos (\\frac{\\pi }{4})\u00a0 \\\\<br \/>\n{} &amp; = &amp; -\\frac{\\sqrt{2}}{2}-1-0+\\frac{\\sqrt{2}}{2}\u00a0 \\\\<br \/>\n{} &amp; = &amp; -1\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4660' onClick='GTTabs_show(0,4660)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Calcule o valor exato da express\u00e3o: $sen\\,\\frac{13\\pi }{4}+\\cos 5\\pi -tg\\,(-7\\pi )+\\cos (-\\frac{23\\pi }{4})$. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19171,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,99],"tags":[422,423],"series":[],"class_list":["post-4660","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-trigonometria","tag-11-o-ano","tag-trigonometria"],"views":4946,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat62.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4660","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4660"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4660\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19171"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4660"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4660"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4660"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}