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If sin^(-1) (x - (x^(2))/(2 ) + (x^(3))/...

If `sin^(-1) (x - (x^(2))/(2 ) + (x^(3))/(4)….)+cos^(-1)(x^2-x^4/2+x^6/4-....)=pi/2`
for `0 lt |x| lt sqrt(2) ` then x equals :

A

`(1)/(2)`

B

1

C

`-(1)/(2) `

D

`-1`

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The correct Answer is:
A
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