(i)[4]
Determine the gradient of the curve at the point where $\theta = 1$ radian.
(ii)[3]
Determine the value of $\sin \theta$ at the point on the curve where the tangent runs parallel to the $y$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is expressed parametrically by $x = 2\cos 2\theta + 3\sin \theta$, $y = 3\cos \theta$, with $0 < \theta < \frac{1}{2}\pi$.