A curve $D$ has parametric equations $x=a heta -a\sin heta $, $y=a-a\cos heta $, where $a0$ an

Question

A curve $D$ has parametric equations $x=a	heta -a\sin 	heta $, $y=a-a\cos 	heta $, where $a>0$ and $0Show that $\frac{\mathrm{d}y}{\mathrm{d}x}=\cot \frac{	heta }{2}$. [3] Find the exact equation of the normal to the curve at the point for which $	heta =\frac{\pi }{3}$. [4]

Accepted Answer

$y = -\dfrac{1}{\sqrt{3}}x + \dfrac{a\pi}{3\sqrt{3}}$

2018 EJC Promo Q6

2018 EJC Promo Q6

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