If sin y = x sin (a + y), then dy dx is

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If sin y = x sin (a + y), then \(\frac{\mathrm{dy}}{\mathrm{dx}}\) is
  1. \(\frac{\sin a}{\sin ^{2}(a+y)}\)
  2. \(\frac{\sin ^{2}(a+y)}{\sin a}\)
  3. sin a sin2 (a + y)
  4. \(\frac{\sin ^{2}(a-y)}{\sin a}\)

Answer

(B) ^ 2 (a+y) a

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