Question

Select the correct answer.

What is the corresponding point on the unit circle for the given radian measure?

Answer 1

The corresponding point on the unit circle for the given radian measure is ( 1/2,− √3/2​ ) .This is option B in the image you sent.

To find the corresponding point on the unit circle for a given radian measure, we start at the point (1,0) on the positive x-axis and travel counterclockwise around the circle by the given radian measure.

The given radian measure is 5π/3​ .

This is more than a full circle, so we can subtract the nearest multiple of 2π to get an equivalent angle in the range [0,2π). We get:

`(5\pi)/(3) - 2\pi = (\pi)/(3)`

Now, we can travel π/3

​radians counterclockwise around the unit circle. This brings us to the point ( 1/2,− √3/2​ )

Therefore, the corresponding point on the unit circle for the given radian measure is ( 1/2,− √3/2​ ) .This is option B in the image you sent.