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Let fk(x)=1/k(sin^kx+cos^kx)" where "x i...

Let `f_k(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f_4(x) -f_6(x)` equals

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ALLEN-TRIGONOMETRIC RATIOS AND IDENTITIES-All Questions
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  2. If u=sqrt(a^2 cos^2 theta + b^2sin^2theta)+sqrt(a^2 sin^2 theta + b^2 ...

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  5. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

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  7. In a Delta PQR , if 3 sin P + 4 cos Q = 6 and 4 sin Q + 3 cos P =1, th...

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  8. The expression (tan A)/(1-cotA)+(cot A)/(1-tan A) can be written as

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  9. ABCD is a trapezium such that A B||C Da n dC B is perpendicular to the...

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  10. Let fk(x)=1/k(sin^kx+cos^kx)" where "x in R and kge1. " Then "f4(x) -f...

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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. If alpha+beta=pi/2\ a n d\ beta+gamma=alpha, then t a nalpha, equals- ...

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  17. 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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  18. For 0ltthetalt pi/2 the solutions(s) of sum(m=1)^6 cosec (theta+ ((m-1...

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  19. Two parallel chords of a circle of radius 2 are at a distance. sqrt(3+...

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