{"id":360,"date":"2022-04-13T10:46:56","date_gmt":"2022-04-13T10:46:56","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=360"},"modified":"2024-11-28T09:51:24","modified_gmt":"2024-11-28T09:51:24","slug":"s-3-trigonometric-functions-of-complementary-angles","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/s-3-trigonometric-functions-of-complementary-angles\/","title":{"rendered":"S.3 Trigonometric functions of complementary angles"},"content":{"rendered":"\n

Trigonometric functions of complementary angles<\/strong><\/h2>\n\n\n\n

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

If w and z are complementary angles, these identities are true:<\/p>\n\n\n\n

sin(w) = cos(z)
cos(w) = sin(z)<\/p>\n\n\n\n

These identities imply:<\/p>\n\n\n\n

sec(w) = csc(z) because sec(w)= 1\/cosw = 1\/sinz = csc(z)<\/p>\n\n\n\n

tan(w) = cot(z) because tan(w)= sinw\/cosw = cosz\/sinz = cot(z)<\/p>\n\n\n\n

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

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sin(x)=0.8. If x and y are complementary, what is cos(y)?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Since y and x are complementary, the sine of y is equal to the cosine of x.<\/p>\n\n\n\n

cos(y)=sin(x)=0.8<\/p>\n<\/div><\/div>\n\n\n\n

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sin(x)=0.9. If x and y are complementary, what is cos(y)?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

Since y and x are complementary, the sine of y is equal to the cosine of x.<\/p>\n\n\n\n

cos(y)=sin(x)=0.9<\/p>\n<\/div><\/div>\n\n\n\n

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sin(x)=0.9. What is cos(90\u00b0\u2013x) ?<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

90\u00b0\u2013x and x are complementary, since their angles sum to 90\u00b0.<\/p>\n\n\n\n

So, the cosine of 90\u00b0\u2013x is equal to the sine of x.<\/p>\n\n\n\n

cos(90\u00b0\u2013x)=sin(x)=0.9<\/p>\n<\/div><\/div>\n\n\n\n

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

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Trigonometric functions of complementary angles key notes : If w and z are complementary angles, these identities are true: sin(w) = cos(z)cos(w) = sin(z) These identities imply: sec(w) = csc(z) because sec(w)= 1\/cosw = 1\/sinz = csc(z) tan(w) = cot(z) because tan(w)= sinw\/cosw = cosz\/sinz = cot(z) Learn with an example sin(x)=0.8. If x and y are complementary, what is cos(y)?Continue reading “S.3 Trigonometric functions of complementary angles”<\/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-360","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/360","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=360"}],"version-history":[{"count":13,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/360\/revisions"}],"predecessor-version":[{"id":14939,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/360\/revisions\/14939"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=360"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}