The general solution of is

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

Problem

The general solution of sin⁡x=sin⁡(π6)\sin x = \sin\left(\dfrac{\pi}{6}\right) is x=nπ+(−1)nπ6x = n\pi + (-1)^n\dfrac{\pi}{6}, where n∈Zn \in \mathbb{Z}. How many of these solutions lie in the interval (−π,π](-\pi,\pi]? (a) 1 (b) 3 (c) 2 (d) 4

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