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If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=c...

If `sin^(-1)x+sin^(-1)y=pi/2` and `sin2x=cos2y ,` then (a) `x=pi/8+sqrt(1/2-(pi^2)/(64))` (b)`y= sqrt(1/2-(pi^2)/(64))-pi/(12)` (c)`x=pi/(12)+sqrt(1/2-(pi^2)/(64))` (d)`y=sqrt(1/2-(pi^2)/(64))-pi/8`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If x<0,t h e ntan^(-1)x is equal to

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  2. If tan^(-1)(x+3/x)-tan^(-1)(x-3/x)=tan^(-1) (6/x ) then the value of x...

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  3. If sin^(-1)x+sin^(-1)y=pi/2 and sin2x=cos2y , then (a) x=pi/8+sqrt(...

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  4. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n prove t h a t x^2+y^2+z^...

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  5. If alpha in (0,pi/2) , then the value of tan^(-1)(cotalpha)-cot^(-1)(t...

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  6. tan^(-1)[(cosx)/(1+sinx)] is equal to pi/4-x/2,when (a) x in (-pi/2,(...

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  7. The value of the expression sin^(-1)(sin(22pi)/7)+cos^(-1)(cos(5pi)/3)...

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  8. The value of sin^(-1)("cos"(cos^(-1)(cosx)+sin^(-1)(sinx))), where x i...

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  9. Complete solution set of tan^2(sin^(-1)x)>1 is (a)(-1,-1/(sqrt(2)...

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  10. The value of sin^(-1)(sin12)+cos^(-1)(cos12)=

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  11. The range of the values of p for which the equation sin cos^(-1) ( co...

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  12. The sum of the solution of the equation 2sin^(-1)sqrt(x^2+x+1)+cos^(-1...

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  13. Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denote...

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  14. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

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  15. Evaluate : sec^2(tan^(-1)2)+cosec^2(cot^(-1)3).

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  16. The number of real solution of the equation tan^(-1) sqrt(x^2-3x +2) +...

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  17. For the equation cos^(-1)x+cos^(-1)2x+pi=0 , the number of real soluti...

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  18. If sin^(-1)x=theta+betaa n dsin^(-1)y=theta-beta, then 1+x y is equal ...

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  19. If sin^(-1)(x-1)+cos^(-1)(x-3)+tan^(-1)(x/(2-x^2))=cos^(-1)k+pi, then...

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  20. The value of (lim)((n->oo))(tan^(-1)x)' is equal to (a)-1 (b) π / 2...

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