Find the measure of the reference angle for 400 degrees.
How would I do this?
40 degrees. (Subtract 360; you will get the angle from the +x axis.)
To find the measure of the reference angle for 400 degrees, you can follow these steps:
1. Take the given angle, which is 400 degrees.
2. Subtract or add multiples of 360 degrees until you obtain an angle between 0 and 360 degrees. This is because the reference angle is always measured from the positive x-axis in the unit circle, where angles repeat every 360 degrees.
- Subtracting 360 degrees from 400 gives you 40 degrees.
3. Since 40 degrees falls in the first quadrant (0 to 90 degrees), the reference angle for 400 degrees is 40 degrees.
Therefore, the measure of the reference angle for 400 degrees is 40 degrees.