Which of the following is equivalent to ?

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Which of the following is equivalent to sin⁡3x cos⁡5x\sin 3x\,\cos 5x? (a) 12(sin⁡8x+sin⁡2x)\tfrac12\bigl(\sin 8x+\sin 2x\bigr) (b) 12(cos⁡8x+cos⁡2x)\tfrac12\bigl(\cos 8x+\cos 2x\bigr) (c) 12(sin⁡8x−sin⁡2x)\tfrac12\bigl(\sin 8x-\sin 2x\bigr) (d) 12sin⁡8x\tfrac12\sin 8x

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