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If sin^(- 1)(x-(x^2)/2+(x^3)/4-.....)+c...

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 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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