{"id":11615,"date":"2022-08-02T14:24:34","date_gmt":"2022-08-02T08:54:34","guid":{"rendered":"https:\/\/mathemerize.com\/?p=11615"},"modified":"2022-08-02T14:24:42","modified_gmt":"2022-08-02T08:54:42","slug":"in-the-figure-find-tan-p-cot-r","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/","title":{"rendered":"In the figure, find tan P – cot R ?"},"content":{"rendered":"

Solution :<\/h2>\n

In triangle PQR, we have\"triangle\"<\/p>\n

\\(\\angle\\) Q = 90,\u00a0 PQ = 12 cm and PR = 13 cm<\/p>\n

Using Pythagoras Theorem,<\/p>\n

\\({PR}^2\\) = \\({PQ}^2\\) + \\({QR}^2\\)<\/p>\n

\\(\\implies\\)\u00a0 \\({QR}^2\\) = \\({PR}^2\\) – \\({PQ}^2\\)<\/p>\n

= \\((13)^2\\) – \\((12)^2\\) = 25<\/p>\n

\\(\\implies\\)\u00a0 QR = 5 cm<\/p>\n

We know that,<\/p>\n

tan P = \\(QR\\over PQ\\) = tan P = \\(5\\over 12\\)\u00a0 \u00a0 \u00a0 \u00a0……..(1)<\/p>\n

cot R = \\(QR\\over PQ\\)\u00a0 \\(\\implies\\)\u00a0 cot R = \\(5\\over 12\\)\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 ………(2)<\/p>\n

From (1) and (2), we have<\/p>\n

tan P – cot R = \\(5\\over 12\\) – \\(5\\over 12\\) = 0<\/p>\n","protected":false},"excerpt":{"rendered":"

Solution : In triangle PQR, we have \\(\\angle\\) Q = 90,\u00a0 PQ = 12 cm and PR = 13 cm Using Pythagoras Theorem, \\({PR}^2\\) = \\({PQ}^2\\) + \\({QR}^2\\) \\(\\implies\\)\u00a0 \\({QR}^2\\) = \\({PR}^2\\) – \\({PQ}^2\\) = \\((13)^2\\) – \\((12)^2\\) = 25 \\(\\implies\\)\u00a0 QR = 5 cm We know that, tan P = \\(QR\\over PQ\\) = tan …<\/p>\n

In the figure, find tan P – cot R ?<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","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":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[43,60],"tags":[],"yoast_head":"\nIn the figure, find tan P - cot R ? - Mathemerize<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"In the figure, find tan P - cot R ? - Mathemerize\" \/>\n<meta property=\"og:description\" content=\"Solution : In triangle PQR, we have (angle) Q = 90,\u00a0 PQ = 12 cm and PR = 13 cm Using Pythagoras Theorem, ({PR}^2) = ({PQ}^2) + ({QR}^2) (implies)\u00a0 ({QR}^2) = ({PR}^2) – ({PQ}^2) = ((13)^2) – ((12)^2) = 25 (implies)\u00a0 QR = 5 cm We know that, tan P = (QRover PQ) = tan … In the figure, find tan P – cot R ? Read More »\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Mathemerize\" \/>\n<meta property=\"article:published_time\" content=\"2022-08-02T08:54:34+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2022-08-02T08:54:42+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathemerize.com\/wp-content\/uploads\/2022\/07\/trigonometry8-1-2-300x254.jpeg\" \/>\n<meta name=\"author\" content=\"mathemerize\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"mathemerize\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/\"},\"author\":{\"name\":\"mathemerize\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\"},\"headline\":\"In the figure, find tan P – cot R ?\",\"datePublished\":\"2022-08-02T08:54:34+00:00\",\"dateModified\":\"2022-08-02T08:54:42+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/\"},\"wordCount\":69,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"articleSection\":[\"Maths Questions\",\"Trigonometry Questions\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/\",\"url\":\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/\",\"name\":\"In the figure, find tan P - cot R ? - Mathemerize\",\"isPartOf\":{\"@id\":\"https:\/\/mathemerize.com\/#website\"},\"datePublished\":\"2022-08-02T08:54:34+00:00\",\"dateModified\":\"2022-08-02T08:54:42+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathemerize.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"In the figure, find tan P – cot R ?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathemerize.com\/#website\",\"url\":\"https:\/\/mathemerize.com\/\",\"name\":\"Mathemerize\",\"description\":\"Maths Tutorials - Study Math Online\",\"publisher\":{\"@id\":\"https:\/\/mathemerize.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathemerize.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathemerize.com\/#organization\",\"name\":\"Mathemerize\",\"url\":\"https:\/\/mathemerize.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"contentUrl\":\"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1\",\"width\":140,\"height\":96,\"caption\":\"Mathemerize\"},\"image\":{\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.instagram.com\/mathemerize\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df\",\"name\":\"mathemerize\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/mathemerize.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g\",\"caption\":\"mathemerize\"},\"sameAs\":[\"https:\/\/mathemerize.com\"],\"url\":\"https:\/\/mathemerize.com\/author\/mathemerize\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"In the figure, find tan P - cot R ? - Mathemerize","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/","og_locale":"en_US","og_type":"article","og_title":"In the figure, find tan P - cot R ? - Mathemerize","og_description":"Solution : In triangle PQR, we have (angle) Q = 90,\u00a0 PQ = 12 cm and PR = 13 cm Using Pythagoras Theorem, ({PR}^2) = ({PQ}^2) + ({QR}^2) (implies)\u00a0 ({QR}^2) = ({PR}^2) – ({PQ}^2) = ((13)^2) – ((12)^2) = 25 (implies)\u00a0 QR = 5 cm We know that, tan P = (QRover PQ) = tan … In the figure, find tan P – cot R ? Read More »","og_url":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/","og_site_name":"Mathemerize","article_published_time":"2022-08-02T08:54:34+00:00","article_modified_time":"2022-08-02T08:54:42+00:00","og_image":[{"url":"https:\/\/mathemerize.com\/wp-content\/uploads\/2022\/07\/trigonometry8-1-2-300x254.jpeg"}],"author":"mathemerize","twitter_card":"summary_large_image","twitter_misc":{"Written by":"mathemerize","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/#article","isPartOf":{"@id":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/"},"author":{"name":"mathemerize","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df"},"headline":"In the figure, find tan P – cot R ?","datePublished":"2022-08-02T08:54:34+00:00","dateModified":"2022-08-02T08:54:42+00:00","mainEntityOfPage":{"@id":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/"},"wordCount":69,"commentCount":0,"publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"articleSection":["Maths Questions","Trigonometry Questions"],"inLanguage":"en-US","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/","url":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/","name":"In the figure, find tan P - cot R ? - Mathemerize","isPartOf":{"@id":"https:\/\/mathemerize.com\/#website"},"datePublished":"2022-08-02T08:54:34+00:00","dateModified":"2022-08-02T08:54:42+00:00","breadcrumb":{"@id":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathemerize.com\/in-the-figure-find-tan-p-cot-r\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathemerize.com\/"},{"@type":"ListItem","position":2,"name":"In the figure, find tan P – cot R ?"}]},{"@type":"WebSite","@id":"https:\/\/mathemerize.com\/#website","url":"https:\/\/mathemerize.com\/","name":"Mathemerize","description":"Maths Tutorials - Study Math Online","publisher":{"@id":"https:\/\/mathemerize.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathemerize.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/mathemerize.com\/#organization","name":"Mathemerize","url":"https:\/\/mathemerize.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/","url":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","contentUrl":"https:\/\/i1.wp.com\/mathemerize.com\/wp-content\/uploads\/2021\/05\/logo.png?fit=140%2C96&ssl=1","width":140,"height":96,"caption":"Mathemerize"},"image":{"@id":"https:\/\/mathemerize.com\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.instagram.com\/mathemerize\/"]},{"@type":"Person","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/104c8bc54f90618130a6665299bc55df","name":"mathemerize","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mathemerize.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/f0649d8b9c9f4ba7f1682b12d040d2a3?s=96&d=mm&r=g","caption":"mathemerize"},"sameAs":["https:\/\/mathemerize.com"],"url":"https:\/\/mathemerize.com\/author\/mathemerize\/"}]}},"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/11615"}],"collection":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/comments?post=11615"}],"version-history":[{"count":2,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/11615\/revisions"}],"predecessor-version":[{"id":11626,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/posts\/11615\/revisions\/11626"}],"wp:attachment":[{"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/media?parent=11615"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/categories?post=11615"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathemerize.com\/wp-json\/wp\/v2\/tags?post=11615"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}