A curve has parametric equations given by $x = 2\ln(\sec \theta)$ and \(y = 2\theta - \tan \theta\

Question

A curve has parametric equations given by $x = 2\ln(\sec \theta)$ and $y = 2\theta - \tan \theta$. Show that $\frac{\mathrm{d}y}{\mathrm{d}x} = \cot 2\theta$.

Accepted Answer

$\frac{\mathrm dy}{\mathrm dx}=\cot 2\theta$

Differentiation - Derivatives of Reciprocal Trigonometric Functions

Differentiation - Derivatives of Reciprocal Trigonometric Functions

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