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) for any angles α\alpha and β\beta? (a) cos⁡αsin⁡β−sin⁡αcos⁡β\cos\alpha\sin\beta-\sin\alpha\cos\beta (b) sin⁡αcos⁡β−cos⁡αsin⁡β\sin\alpha\cos\beta-\cos\alpha\sin\beta (c) cos⁡αcos⁡β−sin⁡αsin⁡β\cos\alpha\cos\beta-\sin\alpha\sin\beta (d) sin⁡αcos⁡β+cos⁡αsin⁡β\sin\alpha\cos\beta+\cos\alpha\sin\beta

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