Question

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

Answer 1

`(1, 0)`

Explanation:

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

`(r\cos\theta, r\sin\theta)`

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

`(1\cos(-2\pi), 1\sin(-2\pi))\equiv(1, 0)`