{"id":4663,"date":"2010-10-25T15:30:28","date_gmt":"2010-10-25T14:30:28","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4663"},"modified":"2022-01-13T19:15:27","modified_gmt":"2022-01-13T19:15:27","slug":"mostre-que","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4663","title":{"rendered":"Mostre que"},"content":{"rendered":"<p><ul id='GTTabs_ul_4663' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4663' class='GTTabs_curr'><a  id=\"4663_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4663' ><a  id=\"4663_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_4663'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Mostre que:\u00a0$(\\cos \\alpha -sen\\,\\alpha )(\\cos \\alpha +sen\\,\\alpha )-1=-2\\,se{{n}^{2}}\\,\\alpha $.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4663' onClick='GTTabs_show(1,4663)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4663'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>Ora,<br \/>\n\\[\\begin{array}{*{35}{l}}<br \/>\n(\\cos \\alpha -sen\\,\\alpha )(\\cos \\alpha +sen\\,\\alpha )-1 &amp; = &amp; {{\\cos }^{2}}\\alpha +\\cos \\alpha \\times sen\\,\\alpha -\\cos \\alpha \\times sen\\,\\alpha -se{{n}^{2}}\\,\\alpha -1\u00a0 \\\\<br \/>\n{} &amp; = &amp; {{\\cos }^{2}}\\alpha -se{{n}^{2}}\\,\\alpha -1\u00a0 \\\\<br \/>\n{} &amp; = &amp; -(1-{{\\cos }^{2}}\\alpha )-se{{n}^{2}}\\,\\alpha\u00a0\u00a0 \\\\<br \/>\n{} &amp; = &amp; -se{{n}^{2}}\\,\\alpha -se{{n}^{2}}\\,\\alpha\u00a0\u00a0 \\\\<br \/>\n{} &amp; = &amp; -2\\,se{{n}^{2}}\\,\\alpha\u00a0\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4663' onClick='GTTabs_show(0,4663)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Mostre que:\u00a0$(\\cos \\alpha -sen\\,\\alpha )(\\cos \\alpha +sen\\,\\alpha )-1=-2\\,se{{n}^{2}}\\,\\alpha $. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19179,"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-4663","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":2092,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat70.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4663","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=4663"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4663\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4663"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4663"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4663"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4663"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}