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If sinx+cosx=c, then sin^(6)x+cos^(6)x i...

If `sinx+cosx=c`, then `sin^(6)x+cos^(6)x` is equal to

A

`(1+6c^2-3c^4)/(16)`

B

`(1+6c^2-3c^4)/(4)`

C

`(1+6c^2+3c^4)/(16)`

D

`(1+6c^2+3c^4)/(4)`

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