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Question

Mathematics Question on Derivatives

If cosy = xcos(a + y), then dydx\frac{dy}{dx} =

A

cos2(a+y)sina\frac{cos² (a + y)}{sin a}

B

sin2(a+y)sina\frac{sin² (a + y)}{sin a}

C

cos2(a+y)cosa\frac{cos² (a + y)}{cos a}

D

sin2(a+y)cosa\frac{sin² (a + y)}{cos a}

Answer

cos2(a+y)sina\frac{cos² (a + y)}{sin a}

Explanation

Solution

The correct option is (A):cos2(a+y)sina\frac{cos² (a + y)}{sin a}