Solve the equation and answer the questions that follow.

MATHEMATICS · Multi-part · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Solve the equation sin⁡x  cos⁡x  tan⁡2x=0\sin x\;\cos x\;\tan 2x = 0 and answer the questions that follow. (i) Obtain the general solution corresponding to each non–zero factor in the product. (ii) Write the full set of general solutions of the given equation. (iii) How many distinct solutions occur in [0,2π)[0,2\pi)? List them explicitly.

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