Simplify and choose the correct product form.

MATHEMATICS · Single correct · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Simplify sin⁡7θ−sin⁡5θ+sin⁡3θ−sin⁡θ\sin7\theta-\sin5\theta+\sin3\theta-\sin\theta and choose the correct product form. (a) 2sin⁡θ cos⁡4θ2\sin\theta\,\cos4\theta (b) 4sin⁡θ cos⁡2θ cos⁡4θ4\sin\theta\,\cos2\theta\,\cos4\theta (c) 4cos⁡θ sin⁡2θ cos⁡4θ4\cos\theta\,\sin2\theta\,\cos4\theta (d) 2cos⁡θ sin⁡4θ2\cos\theta\,\sin4\theta

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