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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 0 (b) `2pi` (c) `pi` (d) none of these

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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  6. The value of sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2)] is equal to

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

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

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

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

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  17. Find the value of sin^(-1)(sin5)+cos^(-1)(cos10)+tan^(-1){tan(-6)}+cot...

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

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

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