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If y = x siny, prove that x.dy/dx = y / ...

If `y = x siny`, prove that `x.dy/dx = y / (1 - x cosy)`

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To prove that \( x \frac{dy}{dx} = \frac{y}{1 - x \cos y} \) given that \( y = x \sin y \), we will use implicit differentiation. Here’s the step-by-step solution: ### Step 1: Differentiate both sides of the equation We start with the equation: \[ y = x \sin y \] Now, we differentiate both sides with respect to \( x \). ...
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