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If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)...

If `sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2` there `0 lt 1xx1ltsqrt2`, then x equals

A

-1

B

`(-1)/2`

C

`1/2`

D

1

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The correct Answer is:
D
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AAKASH INSTITUTE-INVERSE TRIGONOMETRIC FUNCTIONS-ASSIGNMENT (SECTION - A)(OBJECTIVE TYPE QUESTIONS (ONE OPTION IS CORRECT))
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  4. if tan^(-1)(1/x)+cos^(-1)(2/sqrt5)=pi/4 then x equals

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  10. sin^(-1) (5/x) +sin^(-1) (12/x) =pi/2

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  14. cos(tan^(-1)3/4)+cos(tan^(-1)x) is equal to

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