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If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+\ dot...

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

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To solve the problem, we start with the given equation: \[ y = \sqrt{\sin x + \sqrt{\sin x + \sqrt{\sin x + \cdots}}} \] ### Step 1: Rewrite the equation Notice that the expression inside the square root is the same as \( y \). Therefore, we can rewrite the equation as: \[ y = \sqrt{\sin x + y} \] ...
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