Teaching UP TGT Mock Test Series 2025 Mathematics Differential Calculus Differentiability

If sin y = x sin (a + y), then \(\rm \frac{d y}{d x}\) is :

1
\(\frac{\sin ^{2} a}{\sin (a+y)}\)
2
\( \frac{\sin (a+y)}{\sin ^{2} a}\)
3
\( \frac{\sin (a+y)}{\sin a}\)
4
\(\frac{\sin ^{2}(a+y)}{\sin a}\)
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