How many distinct solutions does the equation have in the interval ?

MATHEMATICS · Single correct · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

How many distinct solutions does the equation sin⁡x+sin⁡5x+sin⁡9x=0\sin x + \sin 5x + \sin 9x = 0 have in the interval (0, 2π)(0,\,2\pi)? (a) 18 (b) 16 (c) 17 (d) 15

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