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If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo...

If `y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo)))`,prove that `(dy)/(dx)=(cosx)/(2y-1)`

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`y = sqrt(sinx + sqrt(sin x + sqrt(sin x + sqrt(sin x + ...... oo)))) `
`y = sqrt(sin x + y)`
`y^2 = sin x + y`
`(2y) dy/dx = cos x + (dy/dx)`
`=> dy/dx(2y - 1) = cos x`
`dydx = (cosx)/(2y-1) `
hence proved
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