If \[y=\sin x\sin 3x,\]then \[{{y}_{n}}=\]

1.	If \[y=\sin x\sin 3x,\]then \[{{y}_{n}}=\]
A.	\[\frac{1}{2}\left[ \cos \left( 2x+n\frac{\pi }{2} \right)-\cos \left( 4x+n\frac{\pi }{2} \right) \right]\]
B.	\[\frac{1}{2}\left[ {{2}^{n\,\,}}\cos \left( 2x+n\frac{\pi }{2} \right)-{{4}^{n}}\cos \left( 4x+n\frac{\pi }{2} \right) \right]\]
C.	\[\frac{1}{2}\left[ {{4}^{n}}\cos \left( 4x+n\frac{\pi }{2} \right)-{{2}^{n}}\cos \left( 2x+n\frac{\pi }{2} \right) \right]\]
D.	None of these
Answer» C. \[\frac{1}{2}\left[ {{4}^{n}}\cos \left( 4x+n\frac{\pi }{2} \right)-{{2}^{n}}\cos \left( 2x+n\frac{\pi }{2} \right) \right]\]

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If \[y=\sin x\sin 3x,\]then \[{{y}_{n}}=\]

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