The number of solutions of for is

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

Problem

The number of solutions of cot⁡(5πsin⁡θ)=tan⁡(5πcos⁡θ)\cot(5\pi\sin\theta)=\tan(5\pi\cos\theta) for θ∈(0,2π)\theta\in(0,2\pi) is (1) 77 (2) 1414 (3) 2121 (4) 2828

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