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Show that $\frac{dy}{dx} = \cot \theta$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
For the curve, the parametric equations are $x = 3 - \cos 2\theta$ and $y = 2\theta + \sin 2\theta$, with $0 < \theta < \frac{1}{2}\pi$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or indicate $\frac{dx}{d\theta}=2\sin2\theta$ or $\frac{dy}{d\theta}=2+2\cos2\theta$” …
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