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Suppose sin^3xsin3x=sum(m=0)^n Cmcosm x...

Suppose `sin^3xsin3x=sum_(m=0)^n C_mcosm x` is an identity in `x ,` where `C_0,C_1 ,C_n` are constants and `C_n!=0,` the the value of `n` is ________

A

`C_(0)+C_(2) +C_(4)+C_(6) = 0`

B

`C_(1)+C_(2)+C_(3) = -1`

C

`2C_(2) -4C_(6)=0`

D

`C_(4) +2C_(6) = 0`

Text Solution

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The correct Answer is:
A
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