Question

Name a point on the terminal side of 240

Answer 1

You can find the coordinates of point P, and you will have the coordinates of a point on the terminal side of a 240-deg angle in standard position.

Answer 2

Since point P is on the unit circle,

\(P(x, y) = (\cos \theta, \sin \theta)\)

for \(\theta = 240^\circ\)

\(x = \cos 240^\circ\) and \(y = \sin 240^\circ\)

Find the reference angle for 240 degrees.
Then take sine and cosine of the reference angle, and adjust the sign (positive or negative) for both the sine and cosine knowing that you are in quadrant 3.