Calculus Examples

$x = t \cos (t)$ , $y = t \sin (t)$

Step 1

Set up the parametric equation for $x (t)$ to solve the equation for $t$ .

$x = t \cos (t)$

Step 2

Rewrite the equation as $t \cos (t) = x$ .

$t \cos (t) = x$

Step 3

Replace $t$ in the equation for $y$ to get the equation in terms of $x$ .

$y = (x) \sin (x)$

Step 4

Remove parentheses.

$y = (x) \sin (x)$