(i)[4]
Give $\frac{dy}{dx}$ in terms of $t$.
(ii)[3]
Find the equation of the tangent to the curve at the point where $x = 0$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The parametric equations for a curve are $x = \ln(\tan t)$ and $y = \sin^2 t$, where $0 < t < \frac{1}{2}\pi$.
Worked solution & mark scheme
This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $\frac{dx}{dt} = \sec^2 t / \tan t$, or an equivalent expression” …
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