(i)[4]
Determine the exact gradient of the curve at the point for which $\theta = \frac{1}{6}\pi$.
(ii)[4]
Find $\theta$ at the point where the gradient of the curve is $2$, giving your answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given parametrically by $x = 3\sin 2\theta$, $y = 1 + 2\tan 2\theta$, for $0 \leq \theta < \frac{1}{4}\pi$.