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Question

Mathematics Question on Trigonometric Functions

The general solution of sin 3x+sinx3sin2x3x + sin\, x - 3 \,sin 2x = cos3x+cosx3cos2xcos\, 3x + cos\, x - 3 cos \,2x is

A

nπ2+π8\frac{n\pi}{2}+\frac{\pi}{8} for n integer

B

nπ2π8\frac{n\pi}{2}-\frac{\pi}{8} for n integer

C

nπ+π8n\pi + \frac{\pi}{8} for n integer

D

nππ8n\pi - \frac{\pi}{8} for n integer

Answer

nπ2+π8\frac{n\pi}{2}+\frac{\pi}{8} for n integer

Explanation

Solution

Answer (a) nπ2+π8\frac{n\pi}{2}+\frac{\pi}{8} for n integer