9709 P31 - Nov 2020 - Q3
1616
The parametric equations of a curve are
\(x = 3 - \\cos 2\theta\), \(y = 2\theta + \\sin 2\theta\),
for \(0 < \theta < \frac{1}{2}\pi\).
Show that \(\frac{dy}{dx} = \cot \theta\).
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