1)

If sin y = x sin(a+y), then dydx is equal to


A) sinasin(a+y)

B) sin2(a+y)sina

C) sin(a+y)

D) None of these

Answer:

Option B

Explanation:

Given, sin y = x sin (a + y)

x=sinysin(a+y)

dxdy=ddy[sinysin(a+y)]

 = sin(a+y)cosysinycos(a+y)sin2(a+y)

= sinasin2(a+y)

dydx=sin2(a+y)sina