Here is the question:
Find parametric equations for a circle centered at $(5,6)$ with a radius of $4$ and where the particle moves in a clockwise direction starting at $(5,10)$ around the circle in $60$ seconds. Use theta as angle from $0$ to $2\pi$ and $t$ as time in seconds.
I found an equation that matches the rectangular graph, but doesn't use the $60$ seconds. Was the time just thrown in to distract me?
Best Answer
You need the $60$ seconds so a circle is completed at $t=60$.
The parametric form will be:
$$x=5+4\sin\left(\frac{2\pi t}{60}\right)$$
$$y=6+4\cos\left(\frac{2\pi t}{60}\right)$$