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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

`1/4`

B

`1/12`

C

`1/6`

D

`1/3`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2
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  12. Which of the following is correct ?

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  16. General solution of the equation 2 cot ^(2) theta + 2sqrt3 cot theta...

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  18. The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is

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  20. The domain of f(x)= sqrt(cos(sinx))+sqrt(logx{x}) where {x} denotes fr...

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