{"id":47192,"date":"2024-04-30T20:56:26","date_gmt":"2024-04-30T20:56:26","guid":{"rendered":"https:\/\/www.oracletutoring.ca\/blog\/?p=47192"},"modified":"2024-04-30T21:03:00","modified_gmt":"2024-04-30T21:03:00","slug":"math-why-sin180deg-x-sinx","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-why-sin180deg-x-sinx\/","title":{"rendered":"Math: why sin(180\u00b0 – x) = sinx"},"content":{"rendered":"\n

Tutoring math, trig identities are important. The tutor mentions one.<\/h2>\n

\nAn identity, meaning something always true, is<\/p>\n

\nsin(a – b) = sin(a)cos(b) – cos(a)sin(b)<\/p>\n

\nTherefore, \n<\/p>\n

\nsin(180° – x) = sin(180°)cos(x) – cos(180°)sin(x)<\/p>\n

\nSince sin(180°) = 0 and cos(180°) = -1 (which one can confirm on their calculator), we have<\/p>\n

\nsin(180° – x) = 0*cosx – (-1)sinx<\/p>\n

\nAnd so<\/p>\n

\nsin(180° -x) = sinx<\/p>\n

Source:<\/p>\n

Travers, Kenneth et al. Using Advanced Algebra.<\/em> Toronto: Doubleday Canada Limited, 1977.<\/p>\nJack of Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n","protected":false},"excerpt":{"rendered":"

Tutoring math, trig identities are important. The tutor mentions one. An identity, meaning something always true, is sin(a – b) = sin(a)cos(b) – cos(a)sin(b) Therefore, sin(180° – x) = sin(180°)cos(x) – cos(180°)sin(x) Since sin(180°) = 0 and cos(180°) = -1 …<\/p>\n

Math: why sin(180\u00b0 – x) = sinx<\/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":{"footnotes":""},"categories":[3],"tags":[3103,3104,3102],"class_list":["post-47192","post","type-post","status-publish","format-standard","hentry","category-math","tag-sin-function","tag-sine-function","tag-trig-identities"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=47192"}],"version-history":[{"count":6,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47192\/revisions"}],"predecessor-version":[{"id":47198,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47192\/revisions\/47198"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=47192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=47192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=47192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}