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If (tan^-1x)^2+(cot^-1x)^2=(5pi^2)/8, th...

If `(tan^-1x)^2+(cot^-1x)^2=(5pi^2)/8`, then x equals

A

-1

B

1

C

0

D

none of these

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The correct Answer is:
A
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PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
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  4. The value of x for which sin(cot^-1(1+x))=cos(tan^-1x) is

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  9. The greatest of tan1, tan^-1 1, sin^-1 1, sin1, cos1, is

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  10. If 0 lt x lt 1, then sqrt(1+x^2)[{xcos(cos^-1x)+sin(cot^-1x)}^2-1]^(1/...

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