# How do you find the point on the unit circle that corresponds to 5pi/4?

The point is $\frac{\pi}{4}$ below the negative X-axis at a distance of $1$ from the origin.
$\textcolor{w h i t e}{\text{XXX}}$in polar form: $\left(1 , \frac{5 \pi}{4}\right)$
$\textcolor{w h i t e}{\text{XXX}}$in Cartesian form: $\left(- \frac{\sqrt{2}}{2} , - \frac{\sqrt{2}}{2}\right)$