### Home > PC3 > Chapter 10 > Lesson 10.2.2 > Problem10-134

10-134.

For each of the following sets of parametric equations, write an equation relating $x$ and $y$.

1. $x(t) = \cos(t) \\ y(t) = \sin(t)$

$\cos^2(t) + \sin^2(t) = 1$

1. $x(t) = \cos(t^3)\\ y(t) = \sin(t^3)$

Let $u = t^{3}$.

1. $x(t) = t^4 − 2t^2 \\y(t) = t^2$

$x = (t^2)^2 − 2(t^2)$