1.

The general solution of \[\sin x-3\sin 2x+\sin 3x=\] \[\cos x-3\cos 2x+\cos 3x\] is [IIT 1989]

A. \[n\pi +\frac{\pi }{8}\]
B. \[\frac{n\pi }{2}+\frac{\pi }{8}\]
C. \[{{(-1)}^{n}}\frac{n\pi }{2}+\frac{\pi }{8}\]
D. \[2n\pi +{{\cos }^{-1}}\frac{3}{2}\]
Answer» C. \[{{(-1)}^{n}}\frac{n\pi }{2}+\frac{\pi }{8}\]


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