If \( y=\sqrt{\cos x+\sqrt{\cos x+\sqrt{\cos x+\ldots \text { to } \infty}}} \), prove that \( \...

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If \( y=\sqrt{\cos x+\sqrt{\cos x+\sqrt{\cos x+\ldots \text { to } \infty}}} \), prove that \( \frac{d y}{d x}=\frac{\sin x}{1-2 y} \).
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