Answer
The graph of:
$x=t~cos~t$
$y=t~sin~t$
Work Step by Step
Notice that $x=a~cos~t$ and $y=a~sin~t$ would give us a circle of raidus $a$. Now, make $a=t$. The radius of the "circle" increases as $t$ increaes.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.