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Solve `Cos^(-1)(Sin Cos^(-1)X) = Pi/2` - Mathematics

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Question

Solve `cos^(-1)(sin cos^(-1)x) = pi/2`

Solution

`sin(cos^(-1)x) = cos  pi/6`

`sin(cos^(-1)x) = sqrt3/2`

`sin(cos^(-1) x) = sin  pi/3`

`cos^(-1) x = pi/3`

`x = cos  pi/3`

`x = 1/2`

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2014-2015 (March)

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