# What are the coordinates of -2 pi radians on the unit circle?

$\left(1 , 0\right)$

#### Explanation:

In general, the coordinates of a point lying on a circle of radius $r$ at an angle $\setminus \theta$ in CCW from +ve x-axis are given as follows

$\left(r \setminus \cos \setminus \theta , r \setminus \sin \setminus \theta\right)$

hence. the coordinates of a point lying on a unit circle (radius $r = 1$) at an angle $\setminus \theta = - 2 \setminus \pi$ are given as follows

$\left(1 \setminus \cos \left(- 2 \setminus \pi\right) , 1 \setminus \sin \left(- 2 \setminus \pi\right)\right) \setminus \equiv \left(1 , 0\right)$