{"id":188108,"date":"2025-02-06T10:43:07","date_gmt":"2025-02-06T10:43:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=188108"},"modified":"2025-02-06T10:43:09","modified_gmt":"2025-02-06T10:43:09","slug":"solve-for-x-4","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/02\/06\/solve-for-x-4\/","title":{"rendered":"Solve for x"},"content":{"rendered":"\n<p>Solve for x. Round to the nearest tenth of a degree, if necessary.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/02\/image-79.png\" alt=\"\" class=\"wp-image-188109\"\/><\/figure>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>I&#8217;m unable to access the image directly, but based on the URL, it appears to be a trigonometric equation. Let&#8217;s consider a general trigonometric equation and solve for ( x ). For example, if the equation is:<\/p>\n\n\n\n<p>[ \\sin(x) = 0.5 ]<\/p>\n\n\n\n<p><strong>Step 1: Identify the general solution<\/strong><\/p>\n\n\n\n<p>The sine function equals 0.5 at specific angles. From trigonometric tables or a calculator, we know:<\/p>\n\n\n\n<p>[ \\sin(30^\\circ) = 0.5 ]<\/p>\n\n\n\n<p>Since the sine function is positive in both the first and second quadrants, the general solutions are:<\/p>\n\n\n\n<p>[ x = 30^\\circ + 360^\\circ n \\quad \\text{or} \\quad x = 150^\\circ + 360^\\circ n ]<\/p>\n\n\n\n<p>where ( n ) is any integer.<\/p>\n\n\n\n<p><strong>Step 2: Find the solutions within a specific interval<\/strong><\/p>\n\n\n\n<p>If the problem asks for solutions within a specific interval, such as ( 0^\\circ \\leq x &lt; 360^\\circ ), we substitute ( n = 0 ) into the general solutions:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For ( x = 30^\\circ + 360^\\circ n ), when ( n = 0 ), ( x = 30^\\circ ).<\/li>\n\n\n\n<li>For ( x = 150^\\circ + 360^\\circ n ), when ( n = 0 ), ( x = 150^\\circ ).<\/li>\n<\/ul>\n\n\n\n<p>Thus, the solutions within the interval ( 0^\\circ \\leq x &lt; 360^\\circ ) are:<\/p>\n\n\n\n<p>[ x = 30^\\circ \\quad \\text{and} \\quad x = 150^\\circ ]<\/p>\n\n\n\n<p><strong>Step 3: Round to the nearest tenth of a degree<\/strong><\/p>\n\n\n\n<p>Both solutions are already whole numbers, so rounding to the nearest tenth of a degree gives:<\/p>\n\n\n\n<p>[ x = 30.0^\\circ \\quad \\text{and} \\quad x = 150.0^\\circ ]<\/p>\n\n\n\n<p><strong>Conclusion<\/strong><\/p>\n\n\n\n<p>The solutions to the equation ( \\sin(x) = 0.5 ) within the interval ( 0^\\circ \\leq x &lt; 360^\\circ ) are:<\/p>\n\n\n\n<p>[ x = 30.0^\\circ \\quad \\text{and} \\quad x = 150.0^\\circ ]<\/p>\n\n\n\n<p>If the equation in the image differs from this example, please provide the specific equation, and I can offer a more tailored solution.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solve for x. Round to the nearest tenth of a degree, if necessary. The Correct Answer and Explanation is : I&#8217;m unable to access the image directly, but based on the URL, it appears to be a trigonometric equation. Let&#8217;s consider a general trigonometric equation and solve for ( x ). For example, if the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-188108","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/188108","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=188108"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/188108\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=188108"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=188108"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=188108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}