1) If sin y = x sin(a+y), then dydx is equal to A) sin√asin(a+y) B) sin2(a+y)sina C) sin(a+y) D) None of these Answer: Option BExplanation:Given, sin y = x sin (a + y) x=sinysin(a+y) dxdy=ddy[sinysin(a+y)] = sin(a+y)cosy−sinycos(a+y)sin2(a+y) = sinasin2(a+y) dydx=sin2(a+y)sina