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If (1)/(sqrt2) lt x lt 1, then prove tha...

If `(1)/(sqrt2) lt x lt 1`, then prove that `cos^(-1) x + cos^(-1) ((x + sqrt(1 - x^(2)))/(sqrt2)) = (pi)/(4)`

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CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  2. If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

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  3. If (1)/(sqrt2) lt x lt 1, then prove that cos^(-1) x + cos^(-1) ((x + ...

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  6. Prove that cos^(-1)x=2sin^(-1)(sqrt (1-x)/sqrt2)

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

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

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

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

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

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

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