1c:I[1254,["7330","static/chunks/d3ac728e-78c3d5d7a486ed3a.js","5159","static/chunks/5159-48592f0bf1a47f9d.js","8175","static/chunks/8175-f84d59b9bd013e10.js","8167","static/chunks/8167-b25693a0140130f2.js","664","static/chunks/664-bceb0f356f9312eb.js","3703","static/chunks/app/practice-question/%5Bslug%5D/page-d1408559b663b83f.js"],"PracticeQuestionCard"] 1b:T4b3,{"@context":"https://schema.org","@type":"QAPage","name":"If sin ( 60^ - ) = cos ( - 30^ ), then the value of tan ( - ) is (ass…","url":"https://vidyalelo.com/practice-question/if-sin60-%CE%B8-cos%CE%A8-30-then-the-value-of-tan%CE%A8-%CE%B8-is-assume-that-%CE%B8-and-%CE%A8-are-both-positive-acute-angles-with-%CE%B8-60-93542","keywords":"practice questions, MCQ, MCQs with answers, objective questions, competitive exam questions, Competitive Exams, Competitive Exams MCQ, Competitive Exams MCQs, Competitive Exams questions, Competitive Exams practice questions, Aptitude, Aptitude MCQ, Aptitude MCQs, Aptitude questions, Aptitude practice questions, Trigonometry","mainEntity":{"@type":"Question","name":"If sin ( 60^ - ) = cos ( - 30^ ), then the value of tan ( - ) is (ass…","text":"If sin ( 60^ - ) = cos ( - 30^ ), then the value of tan ( - ) is (assume that and are both positive acute angles with 30^ ) ?","answerCount":1,"acceptedAnswer":{"@type":"Answer","text":"Option C. 3. Answer & Solution Answer: Option C Solution: & sin ( 60^ - ) = cos ( - 30^ ) & ( 60^ - ) + ( - 30^ ) = 90^ & [ If sin A = cos B\\, then, A + B = 90^ ] & ( - ) = 90^ - 30^ & ( - ) = 60^ & ( - ) = 60^ & 60^ = 3"}}}1d:T439,

Answer & Solution

Answer: Option C

Solution:

$$\eqalign{ & {\text{sin}}\left( {{{60}^ \circ } - \theta } \right) = {\text{cos}}\left( {\psi - {{30}^ \circ }}