Find the number of solutions of the equation in .

MATHEMATICS · Subjective · A Level · Mathematics · Trigonometry · Trigonometry

Problem

Find the number of solutions of the equation 2sin⁡3x+6sin⁡2x−sin⁡x−3=02\sin^3 x + 6\sin^2 x - \sin x - 3 = 0 in (0,2π)(0, 2\pi).

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