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Let f(k) ""=(1)/(k) ( sin ^(k) x + cos...

Let `f_(k) ""=(1)/(k) ( sin ^(k) x + cos^(k)x),` where `x in RR and k gt 1` then ` f_(4) (x)- f_(6)(x)` equals -

A

`(1)/(6)`

B

`(1)/(3)`

C

`(1)/(4)`

D

`(1)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
D
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