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sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is tr...

`sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x` is true if- `x in [0,\ 1]\ ` b. `[-1/(sqrt(2)),1/(sqrt(2))]` c. `[-1/2,1/2]` d. `[-(sqrt(3))/2,(sqrt(3))/2]`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. 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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  2. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

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

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

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

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  6. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n x^2+y^2+z^2+x y z=0 x^...

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

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

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

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  10. Find the value of tan^(-1)(1/2tan2A)+tan^(-1)(cotA)+tan^(-1)(cot^3A),f...

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

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

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  13. Which of the following pairs of function/functions has same graph? y=...

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  14. The solution set of equation sin^(-1) sqrt(1-x^2) + cos^(-1) x = cot^(...

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  15. The solution set of the equation sin^(-1)sqrt(1-x^2)+cos^(-1)x=cot^(-...

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  16. if 0 lt x lt 1 then tan^(-1)= sqrt(1-x^2)/(1+x^2) is equal to (i) 1/...

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  17. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

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  18. If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and ...

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  19. Value of k for which the point (alpha,sin^(-1)alpha)(alpha>0) lies ins...

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  20. Solution set of the inequality sin^(-1)(sin((2x^2+3)/(x^2+1)))lt=pi-5/...

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