Find all solutions of in the interval .

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

Problem

Find all solutions of 3sin⁡x+6sin⁡xcos⁡x=03\sin x + 6\sin x\cos x = 0 in the interval [0,2π)[0,2\pi). (a) 0,  π3,  π,  5π30,\;\dfrac{\pi}{3},\;\pi,\;\dfrac{5\pi}{3} (b) 0,  π,  2π0,\;\pi,\;2\pi (c) 0,  2π3,  π,  4π30,\;\dfrac{2\pi}{3},\;\pi,\;\dfrac{4\pi}{3} (d) 2π3,  π,  4π3,  2π\dfrac{2\pi}{3},\;\pi,\;\dfrac{4\pi}{3},\;2\pi

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