Determine the number of distinct solutions of the equation in the interval .

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

Problem

Determine the number of distinct solutions of the equation sin⁡2x tan⁡3x=0\sin^{2}x\,\tan 3x = 0 in the interval 0≤x<2π0 \le x < 2\pi. (a) 44 (b) 66 (c) 55 (d) 77

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