Answer:
Option B
Explanation:
Given, sin y = x sin (a + y)
$x = \frac{\sin y}{\sin(a+y)}$
$\frac{dx}{dy} = \frac{d}{dy}\left[\frac{\sin y}{\sin(a+y)}\right]$
= $\frac{\sin(a+y)\cos y - \sin y\cos(a+y)}{\sin^{2}(a+y)}$
= $\frac{\sin a}{\sin^{2}(a+y)}$
$\frac{dy}{dx}= \frac{\sin^{2}(a+y)}{\sin a}$
