What are the coordinates of point (x, y) corresponding to angle 8 on the unit circle if the measure of angle 8 is 60 degrees?

To find the coordinates of point (x, y) on the unit circle corresponding to a given angle, we use the cosine and sine functions. The unit circle has a radius of 1, so the coordinates can be calculated as:

x = cos(θ) and y = sin(θ)

Given that the measure of angle 8 is 60 degrees (or π/3 radians), we calculate:

  • x = cos(60°) = 1/2
  • y = sin(60°) = √3/2

Therefore, the point (x, y) corresponding to angle 8 on the unit circle is:

(x, y) = (1/2, √3/2)

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