Problem

Problem

The number of solutions of cot⁡(5πsin⁡θ)=tan⁡(5πcos⁡θ)\cot(5\pi \sin \theta) = \tan(5\pi \cos \theta) , ∀θ∈(0,2π)\forall \theta \in (0, 2\pi) is a. 7 b. 14 c. 21 d. 28

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