Question

How do you find the coordinates of the terminal points corresponding to the following arc length on the unit circle: -2π/3?

Answer 1

Call M the terminal point of the arc. Coordinates of M (Quadrant III):

`x = cos ((-2pi)/3) = - cos (pi/3) = -1/2`

`y = sin ((-2pi)/3 )= - sin (pi/3) = (-sqr3)/2`