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

If `0 lt cos^(-1)x lt 1 and 1+sin(cos^(-1)x)+sin^(2)(cos^(-1)x)+sin^(3)(cos^(-1)x)+…infty=2`, then the value of 12x is

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The correct Answer is:

6root(3)

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If sin^(-1)(cos^(-1)x)lt1 and cos^(-1)(cos^(-1)x)lt1 then x in

`(Sin1, Sin (sin1))`

`(cos(cos1),cos(sin1))`

`(cos(sin1),cos(cos1))`

`phi` (empty set)

`(4)/(pi) [ xsin^(-1) x + sqrt(1 -x^(2)) ] - x + c`

`(1)/(pi) [ xsin^(-1) x + sqrt(1 -x^(2)) ] - x + c`

`(2)/(pi) [ xsin^(-1) x + sqrt(1 -x^(2)) ] - x + c`

`(2)/(pi) [ xsin^(-1) x - sqrt(1 -x^(2)) ] - x + c`

`(Sin1, Sin(sin1))`

`(cos(cos1), cos(sin1))`

`(cos(sin1), cos(cos1))`

`phi` (empty set)