{"id":158769,"date":"2023-09-12T13:23:22","date_gmt":"2023-09-12T07:53:22","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=158769"},"modified":"2023-09-12T13:30:39","modified_gmt":"2023-09-12T08:00:39","slug":"for-0-%e2%89%a4-%f0%9d%91%a5-%e2%89%a4-2%f0%9d%9c%8b-sin-%f0%9d%91%a5-and-cos-%f0%9d%91%a5-are-both-decreasing-functions-in-the-interval","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/for-0-%e2%89%a4-%f0%9d%91%a5-%e2%89%a4-2%f0%9d%9c%8b-sin-%f0%9d%91%a5-and-cos-%f0%9d%91%a5-are-both-decreasing-functions-in-the-interval\/","title":{"rendered":"For 0 \u2264 \ud835\udc65 \u2264 2\ud835\udf0b, sin \ud835\udc65 and cos \ud835\udc65 are both decreasing functions in the interval"},"content":{"rendered":"\n<p>Q. For 0 \u2264 \ud835\udc65 \u2264 2\ud835\udf0b, sin \ud835\udc65 and cos \ud835\udc65 are both decreasing functions in the interval\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"691\" height=\"62\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-889.png\" alt=\"\" class=\"wp-image-158772\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-889.png 691w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-889-300x27.png 300w\" sizes=\"(max-width: 691px) 100vw, 691px\" \/><\/figure>\n\n\n\n<p>Ans: Option B<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>Sin x is increasing function in the interval 0 &lt; x &lt; \u03c0\/2 and in the interval 3\u03c0\/2 &lt; x &lt; 2\u03c0. <\/p>\n\n\n\n<p>Sin x is decreasing function in the interval \u03c0\/2 &lt; x &lt; 3\u03c0\/2. <\/p>\n\n\n\n<p>Cos x is increasing function in the interval \u03c0 &lt; x &lt; 2\u03c0. <\/p>\n\n\n\n<p>Cos x is decreasing function on the interval 0 &lt; x &lt; \u03c0.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. For 0 \u2264 \ud835\udc65 \u2264 2\ud835\udf0b, sin \ud835\udc65 and cos \ud835\udc65 are both decreasing functions in the interval\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Ans: Option B Sol: Sin x is increasing function in the interval 0 &lt; x &lt; \u03c0\/2 and in the interval 3\u03c0\/2 &lt; x &lt; 2\u03c0. Sin x is decreasing function in the interval \u03c0\/2 &lt; [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":158773,"comment_status":"open","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-4)","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-4)","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-4)","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":[5141],"tags":[5140],"class_list":["post-158769","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/158769","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=158769"}],"version-history":[{"count":2,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/158769\/revisions"}],"predecessor-version":[{"id":158776,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/158769\/revisions\/158776"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/158773"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=158769"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=158769"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=158769"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}