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Question

Mathematics Question on Number of integer solutions

The general solution of 3cosx+sinx=2\sqrt3\cos x+\sin x=\sqrt2, for any integer “n” is

A

nπ+π6±π4n\pi+\frac{\pi}{6}±\frac{\pi}{4}

B

nππ6±π4n\pi-\frac{\pi}{6}±\frac{\pi}{4}

C

2nππ6±π42n\pi-\frac{\pi}{6}±\frac{\pi}{4}

D

2nπ+π6±π42n\pi+\frac{\pi}{6}±\frac{\pi}{4}

Answer

2nπ+π6±π42n\pi+\frac{\pi}{6}±\frac{\pi}{4}

Explanation

Solution

The correct option is (D) : 2nπ+π6±π42n\pi+\frac{\pi}{6}±\frac{\pi}{4}.