(i)[5]
Show that $\frac{dy}{dx}$ is equal to $\frac{1}{3}(\sqrt{3} - \cot t)$.
(ii)[4]
Find the equation of the tangent at the point where the curve meets the positive $y$-axis, and present your answer in the form $y = mx + c$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram depicts the curve whose parametric equations are $x = 3\cos t$, $y = 2\cos\left(t - \frac{1}{6}\pi\right)$, for $0 \leq t < 2\pi$.