{"id":29777,"date":"2021-09-18T14:24:42","date_gmt":"2021-09-18T08:54:42","guid":{"rendered":"https:\/\/learnsteer.sasnaka.org\/science\/?p=29777"},"modified":"2021-09-18T15:01:13","modified_gmt":"2021-09-18T09:31:13","slug":"01-04-00-q1","status":"publish","type":"post","link":"https:\/\/learnsteer.sasnaka.org\/science\/advanced-level-science\/combined-mathematics\/infinite-thinking\/01-04-00-q1\/","title":{"rendered":"\u0d9a\u0ddd\u0dab\u0dba \u0d9a\u0dd3\u0dba\u0daf?"},"content":{"rendered":"\n<div class=\"wp-block-cover has-background-dim\" style=\"background-color:#e0c8f8\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<p class=\"has-text-align-center has-text-color\" style=\"color:#000532;font-size:30px\">\u0d9a\u0ddd\u0dab\u0dba \u0d9a\u0dd3\u0dba\u0daf? (\u0dbb\u0dd6\u0db4\u0dba\u0dda \u0daf\u0d9a\u0dca\u0dc0\u0dcf \u0d87\u0dad\u0dca\u0dad\u0dda \u0db4\u0dcf\u0daf\u0dba\u0d9a\u0dca \u0d92\u0d9a\u0d9a 2 \u0d9a\u0dca \u0dc0\u0dd6 \u0dc3\u0db8\u0da0\u0dad\u0dd4\u0dbb\u0dc3\u0dca\u200d\u0dbb\u0dba\u0d9a\u0dd2.)<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3-1024x985.png\" alt=\"\" class=\"wp-image-29781\" width=\"256\" height=\"246\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3-1024x985.png 1024w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3-300x289.png 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3-768x739.png 768w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3-150x144.png 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3-696x669.png 696w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3-1068x1027.png 1068w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3-437x420.png 437w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/imageonline-co-whitebackgroundremoved-3.png 1123w\" sizes=\"(max-width: 256px) 100vw, 256px\" \/><\/figure><\/div>\n<\/div><\/div>\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>\u0db8\u0dda \u0d9a\u0ddd\u0dab\u0dba \u0dc4\u0ddc\u0dba\u0db1\u0dca\u0db1 \u0db1\u0db8\u0dca \u0db4\u0ddc\u0da9\u0dd2 \u0db1\u0dd2\u0dbb\u0dca\u0db8\u0dcf\u0dab\u0dba\u0d9a\u0dca \u0d9a\u0dbb\u0db1\u0dca\u0db1 \u0d95\u0db1.<\/p>\n\n\n\n<p>E \u0da7 \u0dc3\u0dd2\u0dbb\u0dc3\u0dca\u0dc0 \u0d89\u0dc4\u0dc5\u0dd2\u0db1\u0dca \u0dc4\u0dcf \u0db4\u0dc4\u0dc5\u0dd2\u0db1\u0dca \u0db4\u0dd2\u0dc4\u0dd2\u0da7\u0db1 G \u0dc4\u0dcf F \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba \u0dbb\u0dd6\u0db4\u0dba\u0dda \u0db4\u0dbb\u0dd2\u0daf\u0dd2 \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0d9a\u0dd2\u0db1\u0dca \u0dba\u0dcf \u0d9a\u0dbb\u0db8\u0dd4.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/image045.jpg\" alt=\"\" class=\"wp-image-29782\" width=\"254\" height=\"244\" srcset=\"https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/image045.jpg 1016w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/image045-300x288.jpg 300w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/image045-768x739.jpg 768w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/image045-150x144.jpg 150w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/image045-696x669.jpg 696w, https:\/\/learnsteer.sasnaka.org\/science\/wp-content\/uploads\/sites\/3\/2021\/09\/image045-437x420.jpg 437w\" sizes=\"(max-width: 254px) 100vw, 254px\" \/><\/figure><\/div>\n\n\n\n<p>\u0daf\u0dd0\u0db1\u0dca \u0d85\u0db4\u0dd2\u0da7 \u0db4\u0dd4\u0dc5\u0dd4\u0dc0\u0db1\u0dca \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0db8\u0dd2\u0dad\u0dd2\u0d9a \u0dc3\u0db8\u0dca\u0db6\u0db1\u0dca\u0db0\u0dad\u0dcf \u0db4\u0dcf\u0dc0\u0dd2\u0da0\u0dca\u0da0\u0dd2 \u0d9a\u0dbb\u0dbd\u0dcf \u0d85\u0dc0\u0dc1\u0dca\u200d\u0dba \u0d9a\u0ddd\u0dab\u0dba \u0dc4\u0ddc\u0dba\u0db1\u0dca\u0db1.<\/p>\n\n\n\n<p>\u0db4\u0daf\u0dba\u0d9a \u0daf\u0dd2\u0d9c \u0d92\u0d9a\u0d9a 2 \u0d9a\u0dca \u0db1\u0dd2\u0dc3\u0dcf FC = 1 \u0daf, GB = 1 \u0d9a\u0dca \u0daf \u0dc0\u0dd9\u0db1\u0dc0\u0dcf.<\/p>\n\n\n\n<span class=\"wp-katex-eq\" data-display=\"false\">\\tan\\;15^\\circ\\;=\\;\\frac{EF}{FC}\\;\\text{\u0db1\u0dd2\u0dc3\u0dcf}\\;EF\\;=\\;\\tan\\;15^\\circ\\;\\;<\/span>\n\n\n\n<p>\u0daf\u0dd0\u0db1\u0dca <span class=\"wp-katex-eq\" data-display=\"false\">\\tan\\;15^\\circ<\/span> \u0dc4\u0ddc\u0dba\u0dcf\u0d9c\u0db1\u0dca\u0db1 \u0d85\u0db4\u0dd2\u0da7 \u0dc3\u0dbb\u0dbd \u0dc3\u0dbb\u0dca\u0dc0\u0dc3\u0dcf\u0db8\u0dca\u200d\u0dba\u0dba\u0d9a\u0dca \u0d85\u0dc0\u0dc1\u0dca\u200d\u0dba \u0dc0\u0dd9\u0db1\u0dc0\u0dcf.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\tan\\;\\frac\\theta2\\;&amp;=&amp;\\;\\frac{\\sin\\;\\theta}{1+\\cos\\;\\theta}\\\\[4px]\\text{\u0d92\u00a0\u0d85\u0db1\u0dd4\u0dc0,}\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\;\\\\[4px]\\tan\\;15^\\circ\\;&amp;=&amp;\\;\\frac{\\sin\\;30^\\circ}{1+\\cos\\;30^\\circ}\\\\[4px]&amp;=&amp;\\;\\frac{\\displaystyle\\frac12}{1+{\\displaystyle\\frac{\\sqrt3}2}}\\\\[4px]&amp;=&amp;\\;\\frac1{2+\\sqrt3}\\end{array}<\/span><\/p>\n\n\n\n<p>\u0daf\u0dd0\u0db1\u0dca \u0dc4\u0dbb\u0dba\u0dda \u0db4\u0dca\u200d\u0dbb\u0dad\u0dd2\u0db6\u0daf\u0dca\u0db0\u0dba\u0dd9\u0db1\u0dca <span class=\"wp-katex-eq\" data-display=\"false\">2-\\sqrt3<\/span> \u0dc4\u0dbb\u0dba\u0dad\u0dca \u0dbd\u0dc0\u0dba\u0dad\u0dca \u0d9c\u0dd4\u0dab \u0d9a\u0dbb\u0db8\u0dd4.<\/p>\n\n\n\n<p>\u0d91\u0dc0\u0dd2\u0da7 <span class=\"wp-katex-eq\" data-display=\"false\">\\tan\\;15^\\circ=2-\\sqrt3<\/span>  \u0db6\u0dc0 \u0db4\u0dd9\u0db1\u0dca\u0dc0\u0db1\u0dca\u0db1 \u0db4\u0dd4\u0dc5\u0dd4\u0dc0\u0db1\u0dca.<\/p>\n\n\n\n<p>\u0d92 \u0db1\u0dd2\u0dc3\u0dcf, <span class=\"wp-katex-eq\" data-display=\"false\">EF=2-\\sqrt3<\/span><\/p>\n\n\n\n<span class=\"wp-katex-eq\" data-display=\"false\">GE\\;=\\;GF\\;-EF\\;\\text{\u0db1\u0dd2\u0dc3\u0dcf}\\;,GE\\;=2\u2013(2\u2013\\sqrt3)=\\sqrt3<\/span>\n\n\n\n<p><\/p>\n\n\n\n<p class=\"has-text-align-center\"><span class=\"wp-katex-eq\" data-display=\"false\">\\begin{array}{rcl}\\tan\\;G\\widehat EB&amp;=&amp;\\frac{GB}{GE}\\\\[4px]&amp;=&amp;\\frac1{\\sqrt3}\\\\[4px]\\text{\u0d91\u0db8\u00a0\u0db1\u0dd2\u0dc3\u0dcf},\\;G\\widehat EB&amp;=&amp;30\\;^\\circ\\;\\text{\u0d9a\u0dca\u00a0\u0dc0\u0dd9\u0db1\u0dc0\u0dcf.\u00a0}\\;GE\/\/BC\\;\\text{\u0db1\u0dd2\u0dc3\u0dcf}\\;E\\widehat BC=30^\\circ\\;\\text{\u0d9a\u0dca\u00a0\u0dc0\u0dd9\u0db1\u0dc0\u0dcf.}\\end{array}<\/span><\/p>\n\n\n\n<div style=\"height:150px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0db8\u0dda \u0d9a\u0ddd\u0dab\u0dba \u0dc4\u0ddc\u0dba\u0db1\u0dca\u0db1 \u0db1\u0db8\u0dca \u0db4\u0ddc\u0da9\u0dd2 \u0db1\u0dd2\u0dbb\u0dca\u0db8\u0dcf\u0dab\u0dba\u0d9a\u0dca \u0d9a\u0dbb\u0db1\u0dca\u0db1 \u0d95\u0db1. E \u0da7 \u0dc3\u0dd2\u0dbb\u0dc3\u0dca\u0dc0 \u0d89\u0dc4\u0dc5\u0dd2\u0db1\u0dca \u0dc4\u0dcf \u0db4\u0dc4\u0dc5\u0dd2\u0db1\u0dca \u0db4\u0dd2\u0dc4\u0dd2\u0da7\u0db1 G \u0dc4\u0dcf F \u0dbd\u0d9a\u0dca\u0dc2\u0dca\u200d\u0dba \u0dbb\u0dd6\u0db4\u0dba\u0dda \u0db4\u0dbb\u0dd2\u0daf\u0dd2 \u0dbb\u0dda\u0d9b\u0dcf\u0dc0\u0d9a\u0dd2\u0db1\u0dca \u0dba\u0dcf \u0d9a\u0dbb\u0db8\u0dd4. \u0daf\u0dd0\u0db1\u0dca \u0d85\u0db4\u0dd2\u0da7 \u0db4\u0dd4\u0dc5\u0dd4\u0dc0\u0db1\u0dca \u0dad\u0dca\u200d\u0dbb\u0dd2\u0d9a\u0ddd\u0dab\u0db8\u0dd2\u0dad\u0dd2\u0d9a \u0dc3\u0db8\u0dca\u0db6\u0db1\u0dca\u0db0\u0dad\u0dcf \u0db4\u0dcf\u0dc0\u0dd2\u0da0\u0dca\u0da0\u0dd2 \u0d9a\u0dbb\u0dbd\u0dcf \u0d85\u0dc0\u0dc1\u0dca\u200d\u0dba \u0d9a\u0ddd\u0dab\u0dba \u0dc4\u0ddc\u0dba\u0db1\u0dca\u0db1. \u0db4\u0daf\u0dba\u0d9a \u0daf\u0dd2\u0d9c \u0d92\u0d9a\u0d9a 2 \u0d9a\u0dca \u0db1\u0dd2\u0dc3\u0dcf FC = 1 \u0daf, GB = 1 \u0d9a\u0dca \u0daf \u0dc0\u0dd9\u0db1\u0dc0\u0dcf. \u0daf\u0dd0\u0db1\u0dca \u0dc4\u0ddc\u0dba\u0dcf\u0d9c\u0db1\u0dca\u0db1 \u0d85\u0db4\u0dd2\u0da7 \u0dc3\u0dbb\u0dbd \u0dc3\u0dbb\u0dca\u0dc0\u0dc3\u0dcf\u0db8\u0dca\u200d\u0dba\u0dba\u0d9a\u0dca [&hellip;]<\/p>\n","protected":false},"author":64,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"tdm_status":"","tdm_grid_status":"","footnotes":""},"categories":[6067,42,3629],"tags":[],"class_list":{"0":"post-29777","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-infinite-thinking","7":"category-advanced-level-science","8":"category-combined-mathematics"},"_links":{"self":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/29777"}],"collection":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/users\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/comments?post=29777"}],"version-history":[{"count":11,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/29777\/revisions"}],"predecessor-version":[{"id":29831,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/posts\/29777\/revisions\/29831"}],"wp:attachment":[{"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/media?parent=29777"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/categories?post=29777"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/learnsteer.sasnaka.org\/science\/wp-json\/wp\/v2\/tags?post=29777"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}