A curve has parametric equations given by $x = \theta - \sin \theta$ and $y = 1 - \cos \theta$.

Question

A curve has parametric equations given by $x = \theta - \sin \theta$ and $y = 1 - \cos \theta$. Show that $\frac{\mathrm{d}y}{\mathrm{d}x} = \cot \frac{\theta}{2}$.

Accepted Answer

$\frac{\mathrm dy}{\mathrm dx}=\cot\frac\theta2$

Techniques of Differentiation - Differentiation of Parametric Equations

Techniques of Differentiation - Differentiation of Parametric Equations

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