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If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqr...

If `cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x ,` then `sinx` is `tan^2alpha/2` (b) `cot^2alpha/2` (c) `tan^2alpha` (d) `cotalpha/2`

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. (sin^(-1) x)^2 + (sin^(-1) y)^2 + 2(sin^(-1) x)(sin^(-1) y) = pi^2 , t...

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

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

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

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  6. If x=T a n^(- 1)(1)+cos^(- 1)(-1/2)+sin^(- 1)(-1/2) and y=cos[1/2cos...

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

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

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

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

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

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

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

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

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

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

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

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

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