Porisma

A hint to get started

Sketch two parameterised curves with their full allowed ranges

Sketch (a) x=t2x=t^2, y=2ty=2t, t∈Rt\in\mathbb R; (b) x=cos⁡2tx=\cos^2t, y=sin⁡3ty=\sin^3t, 0≤t≤π/20\le t\le\pi/2.

CJC · Lecture · Example 2

Find endpoint and axis values before drawing, then keep the parameter range.

Read the worked solution