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`(sin^(-1) x)^2 + (sin^(-1) y)^2 + 2(sin^(-1) x)(sin^(-1) y) = pi^2` , then `x^2+y^2` is equal to

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ALLEN -INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of sec(sin^-1sin((-50pi)/9)+cos^-1cos((31pi)/9))

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  2. cos (cos^-1 cos((8pi)/7) +tan^-1 tan((8pi)/7)) has the value equal to ...

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  3. (sin^(-1) x)^2 + (sin^(-1) y)^2 + 2(sin^(-1) x)(sin^(-1) y) = pi^2 , t...

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  4. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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  5. "tan"(cos^(-1)x) is equal to a.x/(1+x^2) b. (sqrt(1+x^2))/x c.(sqrt(...

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  6. If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=...

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  7. If x=tan^(- 1)(1)+cos^(- 1)(-1/2)+sin^(- 1)(-1/2) and y=cos[1/2cos...

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  8. tan^(-1)2+tan^(-1)3=cos e c^(-1)x ,then x is equal to a.-(19)/(40) b...

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  9. If sin^(-1)x+cot^(-1)(1/2)=pi/2,\ t h e n\ x is a. 0 b. 1/(sqrt(5)) c....

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  10. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

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  11. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if x in a. [0,\ 1]\ b. [...

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  12. Domain of the explicit from of the function y represented implicity by...

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  13. If cos^(- 1)x-cos^(- 1)(y/2)=alpha then 4x^2-4xycosalpha+y^2=

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  14. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi, then, a. x^2+y^2+z^2+x y z=0 ...

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  15. The solution of the inequality (tan^(-1)x)^2-3tan^(-1)x+2geq0 is a.(...

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  16. cos^(-1)x = tan^(-1)x, then: a. x^2=((sqrt(5)-1)/2) b. x^2=((sqrt(5)...

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  17. The value of sin\ (1/2cot^(-1)(-3/4))+cos(1/2cot^(-1)(-3/4)) is/are eq...

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  18. Find the value of tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A)=....

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  19. For the equation 2x=tan(2tan^(-1)a)+ 2tan \ (tan^(-1)a+tan^(-1)a^3) , ...

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  20. The value of [tan{pi/4+1/2sin^(-1)(a/b)}+tan{pi/4-1/2sin^(-1)(a/b)}]^(...

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