Find the reference angle for -150 degrees.
Mathematics · Middle School · Thu Feb 04 2021
Answered on
To find the reference angle for -150 degrees, you need to follow these steps:
1. Determine the location of the angle on the unit circle. Since the angle is negative, we measure it in a clockwise direction from the positive x-axis.
2. Identify the closest axis to the terminal side of the angle. The closest axis to -150 degrees is the negative x-axis, because -150 degrees is 30 degrees away from -180 degrees (which lies on the negative x-axis).
3. Calculate the difference between the angle and the closest axis. In this case, the difference is between -150 degrees and -180 degrees: |-180 - (-150)| = |-180 + 150| = |30| = 30 degrees.
The reference angle for -150 degrees is 30 degrees.