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If y=cos2xcos3x, then y(n) is equal to...

If `y=cos2xcos3x`, then `y_(n)` is equal to

A

`6^(n)cos(2x+(npi)/(2))cos(3x+(npi)/(2))`

B

`6^(n)sin(2x+(npi)/(2))cos((3x+npi)/(2))`

C

`(1)/(2){5^(n)sin(5x+(npi)/(2))+sin(x+(npi)/(2))}`

D

none of these

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The correct Answer is:
D
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