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Show that $\frac{dy}{dx}$ simplifies to $-2 \sin^2\!\left(\frac{1}{2} \theta\right)$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve has parametric equations $x = 1 - \cos \theta$ and $y = \cos \theta - \frac{1}{4} \cos 2\theta$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State either $\frac{dx}{d\theta}=\sin\theta$ or $\frac{dy}{d\theta}=-\sin\theta+\frac12\sin2\theta$.” …
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