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Question

Mathematics Question on Derivatives of Functions in Parametric Forms

If the parametric equation of curve is given by x = cosθ + log tan θ2\frac{θ}{2} and y = sinθ, then the points for which dydx=0\frac{dy}{dx}=0 are given by

A

θ=nπ2,nzθ=\frac{n\pi}{2},n ∈z

B

θ=(2n+1)π2,nzθ=(2n+1)\frac{\pi}{2},n ∈z

C

θ=(2n+1)π,nzθ=(2n+1)\pi,n ∈z

D

θ=nπ,nzθ=n\pi,n ∈z

Answer

θ=nπ,nzθ=n\pi,n ∈z

Explanation

Solution

The correct answer is (D) : θ=nπ,nzθ=n\pi,n ∈z.