Homework Statement
At what point does the curve x = (1-2cos^2(t), y=(tan(t))(1-2cos^2(t)) cross itself? Find equations of both tangents at that point.
Homework Equations
The Attempt at a Solution
To begin, I figured that x=y when it crosses itself, so I set x=y and got 1 = tan(t), so t=\pi/4...