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

Explanation

To prove that \(\frac{dy}{dx} = \frac{\sin x}{1 - 2y}\) given that

\[ y = \sqrt{\cos x + \sqrt{\cos x + \sqrt{\cos x + \ldots}}} \]

we can follow these steps:

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