This document provides the exact coordinates for points on the unit circle corresponding to angles in radians. It gives the coordinates for 0, π/2, π, and 3π/2 radians as (1,0), (0,1), (-1,0), and (0,-1) respectively, based on the definitions of sine and cosine. It then generalizes the coordinates to any multiple of π/2 by using the fact that tan(nπ/2) = ±1. Examples are worked out for finding specific trig values over intervals using the coordinate rules.