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Let F(k)(x)=1/k (sin^(k)x+cos^(k)x), whe...

Let `F_(k)(x)=1/k (sin^(k)x+cos^(k)x)`, where `x in R` and `k ge 1`, then find the value of `F_(4)(x)-F_(6)(x)`.

A

`(5)/(12)`

B

`(-1)/(12)`

C

`(1)/(4)`

D

`(1)/(12)`

Text Solution

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The correct Answer is:
D
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