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Math 1275/D500 Trigonometry in the Coordinate Plane & the Unit Circle Trigonometry in the Coordinate Plane Unit circle The unit circle is the circle of radius 1 (i.e., r = 1) centered at (0, 0). Hence for a point (x, y) on the unit circle at angle θ, x = cos θ and y = sin θ: Here are the coordinates of the points on the unit circle at a number of “special angles”: