Question

draw the terminal side of this angle. make sure to draw you ray to the end of the graph. -210°

Explanation:

Step1: Determine the reference angle

Since the angle is \(-210^{\circ}\), we can find its equivalent positive angle by adding \(360^{\circ}\). So, \(- 210^{\circ}+360^{\circ}=150^{\circ}\).

Step2: Locate the terminal side

An angle of \(150^{\circ}\) in standard position has its terminal side in the second quadrant. The terminal side of \(-210^{\circ}\) (which is coterminal with \(150^{\circ}\)) makes an angle of \(30^{\circ}\) with the negative \(x -\)axis.

Answer:

Draw a ray starting from the origin, making an angle of \(30^{\circ}\) with the negative \(x -\)axis in the second quadrant (extending to the end of the graph).