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} $ .