Find the point (x, y) on the unit circle that corresponds to the real number t = 2π/3

Solution:

We know that the coordinates on the unit circle can be found using

(x, y) = (cos A, sin A)

Where A is the measurement of the angle

From the question A = 2π/3

To find the x and y coordinates, substitute the value of A

Now use the point (x, y) on the unit circle corresponding to 2π/3.

(cos (2π/3), sin (2π/3))

= (-1/2, √3/2)

Therefore, the point (x, y) on the unit circle is (-1/2, √3/2).

Find the point (x, y) on the unit circle that corresponds to the real number t = 2π/3

Summary:

The point (x, y) on the unit circle that corresponds to the real number t = 2π/3 is (-1/2, √3/2).