If 0<cos^-1(x) <1 and 1+"sin"(cos^(-1)x)...

If `0

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The correct Answer is:

`1 + sin (cos^(-1) x) + sin^(2) (cos^(-1) x) + ...oo = 2`
`rArr (1)/(1-sin (cos^(-1)x)) = 2`
or `(1)/(2) = 1 - sin (cos^(-1) x)`
or `sin (cos^(-1)x) = (1)/(2)`
or `sin (cos^(-1) x) = (1)/(2)`
or `cos^(-1) x = (pi)/(6)`
or `x = (sqrt3)/(2) " or " 12x^(2) = 9`

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