{"id":4422,"date":"2010-10-20T23:48:27","date_gmt":"2010-10-20T22:48:27","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4422"},"modified":"2021-12-25T20:01:20","modified_gmt":"2021-12-25T20:01:20","slug":"com-a-ajuda-da-calculadora","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4422","title":{"rendered":"Com a ajuda da calculadora"},"content":{"rendered":"<p><ul id='GTTabs_ul_4422' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4422' class='GTTabs_curr'><a  id=\"4422_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4422' ><a  id=\"4422_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_4422'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Com a ajuda da calculadora e de um c\u00edrculo trigonom\u00e9trico, determine $\\theta $ (em radianos), tal que:<\/p>\n<ol>\n<li>$\\begin{matrix}<br \/>\nsen\\,\\theta =\\frac{2}{3} &amp; \\wedge\u00a0 &amp; \\frac{\\pi }{2}&lt;\\theta &lt;\\pi\u00a0\u00a0 \\\\<br \/>\n\\end{matrix}$<\/li>\n<li>$\\begin{matrix}<br \/>\nsen\\,\\theta =-\\frac{1}{3} &amp; \\wedge\u00a0 &amp; \\pi &lt;\\theta &lt;\\frac{3\\pi }{2}\u00a0 \\\\<br \/>\n\\end{matrix}$<\/li>\n<li>$\\begin{matrix}<br \/>\ntg\\,\\theta =\\frac{7}{3} &amp; \\wedge\u00a0 &amp; \\pi &lt;\\theta &lt;\\frac{3\\pi }{2}\u00a0 \\\\<br \/>\n\\end{matrix}$<\/li>\n<li>$\\begin{matrix}<br \/>\n\\cos \\theta =\\frac{2}{5} &amp; \\wedge\u00a0 &amp; \\frac{3\\pi }{2}&lt;\\theta &lt;2\\pi\u00a0\u00a0 \\\\<br \/>\n\\end{matrix}$<\/li>\n<li>$\\begin{matrix}<br \/>\ntg\\,\\theta =-9 &amp; \\wedge\u00a0 &amp; \\frac{\\pi }{2}&lt;\\theta &lt;\\pi\u00a0\u00a0 \\\\<br \/>\n\\end{matrix}$<\/li>\n<\/ol>\n<p>(Apresente o resultado com 3 casas decimais.)<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4422' onClick='GTTabs_show(1,4422)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4422'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>$\\begin{matrix}<br \/>\nsen\\,\\theta =\\frac{2}{3} &amp; \\wedge\u00a0 &amp; \\frac{\\pi }{2}&lt;\\theta &lt;\\pi\u00a0\u00a0 \\\\<br \/>\n\\end{matrix}$<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/20-10-2010-Ecra004.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4426\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4426\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/20-10-2010-Ecra004.jpg\" data-orig-size=\"480,360\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"20-10-2010-Ecra004\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/20-10-2010-Ecra004.jpg\" class=\"alignnone wp-image-4426\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/20-10-2010-Ecra004-300x225.jpg\" alt=\"\" width=\"360\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/20-10-2010-Ecra004-300x225.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/20-10-2010-Ecra004-150x112.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/20-10-2010-Ecra004-400x300.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/20-10-2010-Ecra004.jpg 480w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<p>$\\theta \\simeq 2,412$<\/p>\n<\/li>\n<li>$\\begin{matrix}<br \/>\nsen\\,\\theta =-\\frac{1}{3} &amp; \\wedge\u00a0 &amp; \\pi &lt;\\theta &lt;\\frac{3\\pi }{2}\u00a0 \\\\<br \/>\n\\end{matrix}$<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra005.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4433\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4433\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra005.jpg\" data-orig-size=\"480,360\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"21-10-2010-Ecra005\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra005.jpg\" class=\"alignnone wp-image-4433\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra005-300x225.jpg\" alt=\"\" width=\"360\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra005-300x225.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra005-150x112.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra005-400x300.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra005.jpg 480w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<p>$\\theta \\simeq 3,481$<\/p>\n<\/li>\n<li>$\\begin{matrix}<br \/>\ntg\\,\\theta =\\frac{7}{3} &amp; \\wedge\u00a0 &amp; \\pi &lt;\\theta &lt;\\frac{3\\pi }{2}\u00a0 \\\\<br \/>\n\\end{matrix}$<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra006.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4434\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4434\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra006.jpg\" data-orig-size=\"480,360\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"21-10-2010-Ecra006\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra006.jpg\" class=\"alignnone wp-image-4434\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra006-300x225.jpg\" alt=\"\" width=\"360\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra006-300x225.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra006-150x112.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra006-400x300.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra006.jpg 480w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<p>$\\theta \\simeq 4,307$<\/p>\n<\/li>\n<li>$\\begin{matrix}<br \/>\n\\cos \\theta =\\frac{2}{5} &amp; \\wedge\u00a0 &amp; \\frac{3\\pi }{2}&lt;\\theta &lt;2\\pi\u00a0\u00a0 \\\\<br \/>\n\\end{matrix}$<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra007.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4435\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4435\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra007.jpg\" data-orig-size=\"480,360\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"21-10-2010-Ecra007\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra007.jpg\" class=\"alignnone wp-image-4435\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra007-300x225.jpg\" alt=\"\" width=\"360\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra007-300x225.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra007-150x112.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra007-400x300.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra007.jpg 480w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<p>$\\theta \\simeq 5,124$<\/p>\n<\/li>\n<li>$\\begin{matrix}<br \/>\ntg\\,\\theta =-9 &amp; \\wedge\u00a0 &amp; \\frac{\\pi }{2}&lt;\\theta &lt;\\pi\u00a0\u00a0 \\\\<br \/>\n\\end{matrix}$<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra008.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4436\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4436\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra008.jpg\" data-orig-size=\"480,360\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"21-10-2010-Ecra008\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra008.jpg\" class=\"alignnone wp-image-4436\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra008-300x225.jpg\" alt=\"\" width=\"360\" height=\"270\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra008-300x225.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra008-150x112.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra008-400x300.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/21-10-2010-Ecra008.jpg 480w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<p>$\\theta \\simeq 1,681$<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4422' onClick='GTTabs_show(0,4422)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Com a ajuda da calculadora e de um c\u00edrculo trigonom\u00e9trico, determine $\\theta $ (em radianos), tal que: $\\begin{matrix} sen\\,\\theta =\\frac{2}{3} &amp; \\wedge\u00a0 &amp; \\frac{\\pi }{2}&lt;\\theta &lt;\\pi\u00a0\u00a0 \\\\ \\end{matrix}$ $\\begin{matrix} sen\\,\\theta =-\\frac{1}{3}&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19465,"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-4422","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":1516,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat129.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4422","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=4422"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4422\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19465"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4422"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4422"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4422"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4422"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}