{"id":4656,"date":"2010-10-25T15:05:04","date_gmt":"2010-10-25T14:05:04","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4656"},"modified":"2022-01-13T19:12:43","modified_gmt":"2022-01-13T19:12:43","slug":"simplifique-a-expressao","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4656","title":{"rendered":"Simplifique a express\u00e3o"},"content":{"rendered":"<p><ul id='GTTabs_ul_4656' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4656' class='GTTabs_curr'><a  id=\"4656_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4656' ><a  id=\"4656_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_4656'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Simplifique a express\u00e3o:<\/p>\n<p style=\"text-align: center;\">$-2\\,sen\\,(\\alpha +\\frac{\\pi }{2})+\\cos (\\frac{5\\pi }{2}-\\alpha )-sen\\,(-\\alpha +\\pi )$<\/p>\n<p style=\"text-align: left;\"><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4656' onClick='GTTabs_show(1,4656)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4656'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p style=\"text-align: left;\">Ora,<br \/>\n\\[\\begin{array}{*{35}{l}}<br \/>\n-2\\,sen\\,(\\alpha +\\frac{\\pi }{2})+\\cos (\\frac{5\\pi }{2}-\\alpha )-sen\\,(-\\alpha +\\pi ) &amp; = &amp; -2\\,sen\\,(\\frac{\\pi }{2}-(-\\alpha ))+\\cos (2\\pi +\\frac{\\pi }{2}-\\alpha )-sen\\,(\\pi -\\alpha )\u00a0 \\\\<br \/>\n{} &amp; = &amp; -2\\cos (-\\alpha )+sen\\,\\alpha -sen\\,\\alpha\u00a0\u00a0 \\\\<br \/>\n{} &amp; = &amp; -2\\cos \\alpha\u00a0\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4656' onClick='GTTabs_show(0,4656)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Simplifique a express\u00e3o: $-2\\,sen\\,(\\alpha +\\frac{\\pi }{2})+\\cos (\\frac{5\\pi }{2}-\\alpha )-sen\\,(-\\alpha +\\pi )$ Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":19467,"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-4656","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":1928,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat131.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4656","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=4656"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4656\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19467"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4656"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4656"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4656"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4656"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}