What is the coordinates of the point of intersection of the angle 300 and the unit circle?

The angle of 300 degrees corresponds to a point on the unit circle. To find the coordinates, we can convert the angle to radians: (300^\circ = \frac{5\pi}{3}) radians. The coordinates are given by ((\cos(300^\circ), \sin(300^\circ))), which evaluates to ((\cos(300^\circ) = \frac{1}{2}, \sin(300^\circ) = -\frac{\sqrt{3}}{2})). Thus, the coordinates of the point of intersection are (\left(\frac{1}{2}, -\frac{\sqrt{3}}{2}\right)).