Question

How do you convert `r^2 = cost` into a rectangular equation?

Answer 1

( x^2 + y^2 )^3 = x^2, x is non-negative.

Explanation:

Here, cost is non-negative. So is x = r cos t.
r^2 = x^2 + y^2.
The graph for r^2 = cos t is symmetrical about t = 0 ( y= 0).
The whole curve is bounded by the the rectangle x = 0 and x = 1, y = 1 and y = `-`1..