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Which one of the following is equal to for any angles and ?
MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions
Problem Which one of the following is equal to sin ( α − β ) \sin(\alpha-\beta) sin ( α − β ) for any angles α \alpha α and β \beta β ?
(a) cos α sin β − sin α cos β \cos\alpha\sin\beta-\sin\alpha\cos\beta cos α sin β − sin α cos β
(b) sin α cos β − cos α sin β \sin\alpha\cos\beta-\cos\alpha\sin\beta sin α cos β − cos α sin β
(c) cos α cos β − sin α sin β \cos\alpha\cos\beta-\sin\alpha\sin\beta cos α cos β − sin α sin β
(d) sin α cos β + cos α sin β \sin\alpha\cos\beta+\cos\alpha\sin\beta sin α cos β + cos α sin β
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