Question

How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: 4π/3?

Answer 1

Use the trig unit circle as proof. The coordinates of the arc's terminal point are:

`x = cos (4pi)/3 = cos (pi/3 + pi) = -cos (pi/3) = -1/2` (Quadrant III)

`y = sin ((4pi)/3) = sin (pi/3 + pi) = - sin (pi/3) = (-sqrt3)/2`-