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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` and `0 lt x lt sqrt2` then x =

A

`1/2`

B

1

C

`-1/2`

D

`-1`

Text Solution

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The correct Answer is:
B
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