Question

Sketch the curves defined parametrically by the given equations.
x = cos^3 t, y = 3sin^3 t, -(π/2) ≤ t ≤ (π/2)

How do i proceed? I tried punching the GC, switched mode to PAR for parametric, then i typed in the two above equations. my hw work solutions gives this graph...

What is the significance, meaning of the restriction? -(π/2) ≤ t (π/2)

Answer 1

This is the graph the worked solution gives, but the gc gives an extra horizontally squashed reflection of it on the left side of the graph )=

Answer 2

help )';