Differentiation Question 323

Question: If $ \sin y=x\cos (a+y), $ then $ \frac{dy}{dx}= $

Options:

A) $ \frac{{{\cos }^{2}}(a+y)}{\cos a} $

B) $ \frac{\cos (a+y)}{{{\cos }^{2}}a} $

C) $ \frac{{{\sin }^{2}}(a+y)}{\sin a} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ x=\frac{\sin y}{\cos (a+y)} $ . Find $ \frac{dx}{dy} $ and then $ \frac{dy}{dx} $ .