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Show that $\frac{dy}{dx} = \frac{2 \cos \theta}{1 + 2 \sin \theta}$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given parametrically by $x = \sin 2\theta - \theta$, $y = \cos 2\theta + 2 \sin \theta$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Find $\frac{dx}{d\theta}=2\cos2\theta-1$ or $\frac{dy}{d\theta}=-2\sin2\theta+2\cos\theta$, or an equivalent form.” …
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