After rewriting using the zero-product principle

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

Problem

After rewriting sin⁡xcos⁡3x=0\sin x \cos 3x = 0 using the zero-product principle, which of the following pairs of simpler equations must be solved? (a) sin⁡x=0   or   3x=2nπ\sin x = 0 \;\text{ or }\; 3x = 2n\pi (b) sin⁡x=0   or   cos⁡x=0\sin x = 0 \;\text{ or }\; \cos x = 0 (c) sin⁡x=0   or   cos⁡3x=0\sin x = 0 \;\text{ or }\; \cos 3x = 0 (d) cos⁡x=0   or   sin⁡3x=0\cos x = 0 \;\text{ or }\; \sin 3x = 0

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