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Let fk(x)=1/k(sin^k x+cos^k x) Then f4(x...

Let `f_k(x)=1/k(sin^k x+cos^k x)` Then `f_4(x)-f_6(x)` =

A

`1/12`

B

`5/12`

C

`-1/12`

D

`-5/12`

Text Solution

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The correct Answer is:
B
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PATHFINDER-TRIGONOMETRIC RATIOS AND IDENTITIES-QUESTION BANK
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  2. For x belongs to (o,pi) the equation sinx+2sin2x-sin3x=3 has

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  3. Let fk(x)=1/k(sin^k x+cos^k x) Then f4(x)-f6(x) =

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  4. The value of tan(pi/3)+2tan((2pi)/3)+4cot((4pi)/3)+8tan((8pi)/3) is

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  8. The expression tanA(1-cotA)+cotA/(1-tanA) can be written as

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  9. For 0leP, Qle(pi/2)if sinP+cosQ=2 then the value of tan((P+Q)/2) is eq...

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  10. Let f(theta)=(1+sin^2 theta)(2-sin^2 theta) then for all values

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  11. The maximum and minimum values of cos^6 theta +sin^6 theta are respect...

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  12. The value of cos^2 75^@ +cos^2 45^@ +cos^2 15^@- cos^2 30^@-cos^2 60^@...

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  17. If A=sin^2theta+cos^4theta then for all real values of theta

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  18. If sintheta=(2t)/(1+t^2) and theta lies in the second quadrant then co...

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