A curve $C$ has parametric equations $x=2\sin t$, $y=1+\cos t$, $0 Show that the equation of the tan

Question

A curve $C$ has parametric equations $x=2\sin t$, $y=1+\cos t$, $0 Show that the equation of the tangent to $C$ at the point $P(2\sin p,1+\cos p)$ is $2y+x	an p=2(1+\sec p)$. [4] The tangent at $P$ meets the $x$- axis at the point $A$ and the $y$- axis at the point $B$. The point $M$ is the midpoint of $AB$. Find the cartesian equation of the curve traced by $M$ as $p$ varies. [5]

Accepted Answer

(ii) Locus: $y = \frac{x^2}{x^2 - 1}$

2018 HCI P1 Q6

2018 HCI P1 Q6

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