{"id":370,"date":"2022-04-13T10:48:24","date_gmt":"2022-04-13T10:48:24","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=370"},"modified":"2024-11-28T10:36:21","modified_gmt":"2024-11-28T10:36:21","slug":"s-8-trigonometric-ratios-find-an-angle-measure","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/s-8-trigonometric-ratios-find-an-angle-measure\/","title":{"rendered":"S.8 Trigonometric ratios: find an angle measure"},"content":{"rendered":"\n

Trigonometric ratios: find an angle measure<\/strong><\/h2>\n\n\n\n

key notes :<\/strong><\/p>\n\n\n\n

The sine (sin) of an angle in a right triangle is a ratio. It is the length of the opposite leg (opp) divided by the length of the hypotenuse (hyp). The opposite leg is the side across from the specified angle and the hypotenuse is the side across from the right angle.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
\n

Find \u2220J.<\/strong><\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

\u2220J =_______\u00b0<\/p>\n<\/div><\/div>\n\n\n\n

Find sin(J).<\/p>\n\n\n\n

Find the sine (sin) of \u2220J.<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

sin(J) = opp \/ hyp Definition of sine<\/p>\n\n\n\n

HI \/ IJ Substitute opp=HI and hyp=IJ<\/p>\n\n\n\n

= \u221a39\/\u221a78 Plug in HI= \u221a39 and IJ= \u221a78<\/p>\n\n\n\n

= \u221a39\/\u221a78 . \u221a78\/\u221a78 Rationalise the denominator<\/p>\n\n\n\n

= 39 2 \/ 78 Multiply<\/p>\n\n\n\n

= \u221a2\/2 Simplify<\/p>\n\n\n\n

So, sin(J)= \u221a2\/2 .<\/p>\n\n\n\n

Find \u2220J.<\/strong><\/p>\n\n\n\n

If you remember that sin45\u00b0= \u221a2\/2 , then you know that \u2220J=45\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

Find \u2220G.<\/strong><\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

\u2220G =________\u00b0<\/p>\n<\/div><\/div>\n\n\n\n

Find sin(G).<\/strong><\/p>\n\n\n\n

Find the sine (sin) of \u2220G.<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

sin(G) = opp \/ hyp Definition of sine<\/p>\n\n\n\n

= EF \/ FG Substitute opp=EF and hyp=FG<\/p>\n\n\n\n

= 35\/70 Plug in EF=\u221a35 and FG= \u221a70<\/p>\n\n\n\n

= \u221a35\/\u221a70 . \u221a70\/\u221a70 Rationalise the denominator<\/p>\n\n\n\n

= 35\u221a2 \/ 70 Multiply<\/p>\n\n\n\n

= \u221a2\/2 Simplify<\/p>\n\n\n\n

So, sin(G)= \u221a2\/2 .<\/p>\n\n\n\n

Find \u2220G.<\/strong><\/p>\n\n\n\n

If you remember that sin45\u00b0= \u221a2\/2 , then you know that \u2220G=45\u00b0.<\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!<\/strong><\/p>\n\n\n\n

\n
\n
\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
\n
\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Trigonometric ratios: find an angle measure key notes : The sine (sin) of an angle in a right triangle is a ratio. It is the length of the opposite leg (opp) divided by the length of the hypotenuse (hyp). The opposite leg is the side across from the specified angle and the hypotenuse is theContinue reading “S.8 Trigonometric ratios: find an angle measure”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-370","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/370","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=370"}],"version-history":[{"count":18,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/370\/revisions"}],"predecessor-version":[{"id":14950,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/370\/revisions\/14950"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=370"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}