{"id":47180,"date":"2024-04-27T21:14:58","date_gmt":"2024-04-27T21:14:58","guid":{"rendered":"https:\/\/www.oracletutoring.ca\/blog\/?p=47180"},"modified":"2024-04-30T21:12:25","modified_gmt":"2024-04-30T21:12:25","slug":"math-solutions-to-sin-equations","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/math-solutions-to-sin-equations\/","title":{"rendered":"Math: solutions to sin equations"},"content":{"rendered":"\n

Tutoring math, you see trig equations. The tutor mentions some top-down ideas.<\/h2>\n

\nConsidering the equation<\/p>\n

\nsinx=K, for K ε Reals<\/p>\n\nsinx = sin(180°-x), 0≤x<90°. Therefore, if the equation has a solution θ between 0 and 90°, it will typically have another at 180° – θ.<\/p>\n

\nBetween 180° and 360°, a similar idea applies: sin(180°+γ) = sin(360°-γ), 0≤γ<90°.<\/p>\n

\nThese ideas can help when trying to find the second solution to a sin equation.<\/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, you see trig equations. The tutor mentions some top-down ideas. Considering the equation sinx=K, for K ε Reals sinx = sin(180°-x), 0≤x<90°. Therefore, if the equation has a solution θ between 0 and 90°, it will typically have …<\/p>\n

Math: solutions to sin equations<\/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":[3103,3104,3106],"class_list":["post-47180","post","type-post","status-publish","format-standard","hentry","category-math","tag-sin-function","tag-sine-function","tag-trig-equations"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47180","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=47180"}],"version-history":[{"count":5,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47180\/revisions"}],"predecessor-version":[{"id":47185,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47180\/revisions\/47185"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=47180"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=47180"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=47180"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}