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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//2`

B

1

C

`-1//2`

D

-1

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The correct Answer is:
B
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DISHA PUBLICATION-INVERSE TRIGONOMETIC FUNCTIONS-EXERCISE - 1: (CONCEPT BUILDER)
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  3. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

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  8. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

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  11. If 4 "sin"^(-1)x+"cos"^(-1)x=pi, then x is equal to

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  12. If "sin"^(-1)((6x)/(1+9x^2))=2 "tan"^(-1)(ax), then a=

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