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Let fK(x)""=1/k(s in^k x+cos^k x) where ...

Let `f_K(x)""=1/k(s in^k x+cos^k x)` where `x in R` and `kgeq1` . Then `f_4(x)-f_6(x)` equals (1) `1/6` (2) `1/3` (3) `1/4` (4) `1/(12)`

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
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  2. sec^2theta=(4x y)/((x+y)^2) is true if and only if x+y!=0 (b) x=y ,x!...

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  3. If u=a^2cos^2theta+b^2sin^2theta+a^2sin^2theta+b^2cos^2theta then the ...

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  4. piltalpha-betalt3pi,sinalpha+sinbeta=-21/65,cosalpha+cosbeta="-27/65,t...

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  5. If 0ltxltpi and cosx + sinx =1/2 , then tanx is (1) ...

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  6. Let cos(alpha+beta)""=4/5 and let s in(alphabeta)""=5/(13) where 0lt=a...

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  7. If A""=""s in^2x""+""cos^4x , then for all real x : (1) 3/4lt=Alt=1...

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  8. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

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  9. The expression (t a n A)/(1-cot A)+(cot A)/(1-t a n A) can be written ...

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  10. Let fK(x)""=1/k(s in^k x+cos^k x) where x in R and kgeq1 . Then f4(x)...

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  11. If m and M are the minimum and the maximum values of 4+1/2 sin^2 2x-2c...

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  12. If A >0,\ B >0\ a n d\ A+B=\ pi/6 , then the minimum value of t a n A+...

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  13. Given both thetaa n dvarphi are acute angles and sinalphabetagamma=1/2...

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  14. In an equilateral triangle 3 coins of radii 1 unit each are kept so...

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  15. t1 = (sintheta)^costheta ,t2 = (sintheta)^sintheta , t3 = (costheta)^c...

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  16. If (sin^4x)/2+(cos^4x)/3=1/5t h e n tan^2x=2/3 (b) (sin^8x)/8+(cos^...

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  17. For 0<theta<pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+((m-1)/...

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  18. The maximum value of the expression 1/(sin^2 theta + 3 sin theta cos t...

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  19. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

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  20. Let P={theta: s intheta-costheta=sqrt(2)costheta}a n d\ Q={theta: s in...

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