The hypocloid is a curve defined by the parametric equations x(t) = cos^3 (t), y(t) = sin^3 (t), where
0 < or = to t < or = to 2pi.
Given the information above, find rectangular equations of the hypocycloid.
Hello, magentarita!
This requires a clever trick . . .The hypocloid is a curve defined by the parametric equations: .**
. .
Given the information above, find rectangular equations of the hypocycloid.
** .There are many many hypocycloids. .This is just one of them.
We have: .
Raise both equations to the power
. .
Therefore: .