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

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

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`sin^(-1)(1-x)-2sin^(-1)x=pi/2`
Let `x=siny`
`sin^(-1)(1-siny)=2y=pi/2`
`sin^(-1)(1-siny)=(pi/2+2y)`
`1-siny=cos2y`
`1-siny=1-2sin2y`
`2sin^2y=siny`
`siny=0,siny=1/2`
...
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