(main)[5]
Show that the derivative is $\frac{dy}{dx} = \cot \theta$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
A curve is given by the parametric equations $x = 3 - \cos 2\theta$, $y = 2\theta + \sin 2\theta$, where $0 < \theta < \frac{1}{2}\pi$.
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 $\frac{dy}{d\theta}=2+2\cos2\theta$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI