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If x1=2tan^(-1)((1+x)/(1-x)),x2=sin^(-1)...

If `x_1=2tan^(-1)((1+x)/(1-x)),x_2=sin^(-1)((1-x^2)/(1+x^2))` , where `x in (0,1),` then `x_1+x_2` is equal to (a) 0 (b) `2pi` (c) `pi` (d) none of these

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. If f(x)=sin^(-1)((sqrt(3))/2x-1/2sqrt(1-x^2)),-1/2lt=xlt=1,t h e nf(x)...

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  2. Let |[tan^(-1)x,tan^(-1)2x,tan^(-1)3x],[tan^(-1)3x,tan^(-1)x,tan^(-1)2...

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  3. If x1=2tan^(-1)((1+x)/(1-x)),x2=sin^(-1)((1-x^2)/(1+x^2)) , where x in...

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  4. The value of sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2)] is equal to

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  5. Which of the following is the solution set of the equation 2cos^(-1)x=...

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  6. The number of solution of equation sin^(-1)x+nsin^(-1)(1-x)=(mpi)/2,wh...

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  7. Number of solutions of equation sin(cos^(-1)(tan(sec^(-1)x)))=sqrt(1+x...

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  8. Let f:[0,4pi]->[0,pi] be defined by f(x)=cos^-1(cos x). The number ...

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  9. The principal value of sin^(-1)(sin((2pi)/3)) is (a)-(2pi)/3 (b) (pi)...

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  10. Is sec(-1)x= cosec(-1)y, then the value of cos^(-1)1/x+cos^(-1)1/y wil...

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  11. If alpha=sin^(-1)(cos(sin^(-1)x))a n dbeta=cos^(-1)("sin"(cos^(-1)x)),...

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  12. If sin(sin^(-1)(1/5)+cos^(-1)x)=1, then find the value of x.

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  13. If sin^(-1)x=pi/5, for some x in (-1,1), then find the value of cos^(-...

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  14. Prove that 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)=tan^(-1)x(x!=0)dot

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  15. Find the value of sin^(-1)(sin7)+cos^(-1)(cos12)+tan^(-1){tan(-8)}+cot...

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  16. Solve sin^(-1)((14)/(|x|))+sin^(-1)((2sqrt(15))/(|x|))=pi/2

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  17. Find the minimum value of (sec^(-1)x)^2+("c o s e c"^(-1)x)^2

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  18. Find the value of lambda for which the three points with position vect...

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  19. Solve sin^(-1)xlt=cos^(-1)xdot

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  20. If 3tan^(-1)(1/(2+sqrt(3)))-tan^(-1)(1/x)=tan^(-1)(1/3), then x is equ...

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