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.

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- October 20th 2008, 06:11 AMmagentaritaHypocycloid
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.

- October 20th 2008, 11:43 AMSoroban
Hello, magentarita!

Quote:

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: .

- October 20th 2008, 08:56 PMmagentaritaSoroban...