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If siny=xsin(a+y), prove that (dy)/(dx)=...

If `siny=xsin(a+y),` prove that `(dy)/(dx)=(sin^2(a+y))/(sina)`

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To prove that \(\frac{dy}{dx} = \frac{\sin^2(a+y)}{\sin a}\) given that \(\sin y = x \sin(a+y)\), we will follow these steps: ### Step 1: Differentiate both sides with respect to \(x\) Starting from the equation: \[ \sin y = x \sin(a+y) \] ...
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