The representation of the angle with measure of 10π / 3 radians is presented in the image attached below.
In this problem we have the measure of an angle in standard position and measured in radians. Since representation of angles are between 0 and 2π radians, we need to find what angle between 0 and 2π radians is coterminal with the described angle:
θ = 10π / 3 - 2π
θ = 4π / 3
Then, the angle is coterminal with an angle of 4π / 3 radians.
Now we proceed to graph the angle by using the following formula:
(x, y) = (cos 4π / 3, sin 4π / 3)
The representation of the angle with measure of 10π / 3 radians is presented in the image attached below.
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