{"id":14122,"date":"2018-03-12T00:50:57","date_gmt":"2018-03-12T00:50:57","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14122"},"modified":"2022-01-11T10:37:10","modified_gmt":"2022-01-11T10:37:10","slug":"sem-recorrer-a-calculadora","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14122","title":{"rendered":"Sem recorrer \u00e0 calculadora"},"content":{"rendered":"<p><ul id='GTTabs_ul_14122' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14122' class='GTTabs_curr'><a  id=\"14122_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14122' ><a  id=\"14122_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_14122'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Sem recorrer \u00e0 calculadora e sem efetuar c\u00e1lculos, indica justificando:<\/p>\n<ol>\n<li>o valor de \\({\\mathop{\\rm sen}\\nolimits} 30^\\circ \\), sabendo que\u00a0\\(\\cos 60^\\circ = 0,5\\);<\/li>\n<li>o valor de \\(\\cos 25^\\circ \\), sabendo que \\({\\mathop{\\rm sen}\\nolimits} 65^\\circ \\approx 0,9063\\).<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14122' onClick='GTTabs_show(1,14122)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14122'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Rela\u00e7\u00e3o de \u00e2ngulos complementares \\[\\begin{array}{*{20}{c}}{{\\mathop{\\rm sen}\\nolimits} \\left( {90^\\circ &#8211; \\alpha } \\right) = \\cos \\alpha }&amp;e&amp;{\\cos \\left( {90^\\circ &#8211; \\alpha } \\right) = {\\mathop{\\rm sen}\\nolimits} \\alpha }\\end{array}\\]\u00a0qualquer que seja o \u00e2ngulo de amplitude\u00a0\\(\\alpha \\).<\/p>\n<\/blockquote>\n<ol>\n<li>Ora,\u00a0\\({\\mathop{\\rm sen}\\nolimits} 30^\\circ = \\cos \\left( {90^\\circ &#8211; 30^\\circ } \\right) = \\cos 60^\\circ = 0,5\\).<br \/>\n\u00ad<\/li>\n<li>Ora,\u00a0\\(\\cos 25^\\circ = {\\mathop{\\rm sen}\\nolimits} \\left( {90^\\circ &#8211; 25^\\circ } \\right) = {\\mathop{\\rm sen}\\nolimits} 65^\\circ \\approx 0,9063\\).<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14122' onClick='GTTabs_show(0,14122)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Sem recorrer \u00e0 calculadora e sem efetuar c\u00e1lculos, indica justificando: o valor de \\({\\mathop{\\rm sen}\\nolimits} 30^\\circ \\), sabendo que\u00a0\\(\\cos 60^\\circ = 0,5\\); o valor de \\(\\cos 25^\\circ \\), sabendo que \\({\\mathop{\\rm&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14056,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,489],"tags":[426,491,493,490],"series":[],"class_list":["post-14122","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-trigonometria-9--ano","tag-9-o-ano","tag-cosseno","tag-razao-trigonometrica","tag-seno"],"views":1266,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/03\/Mat01.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14122","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=14122"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14122\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14122"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14122"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14122"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14122"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}