Explain how to find the reference angle for 1,406°. Find the reference angle.
To find the reference angle, we need to determine how many complete revolutions (360°) are contained within the given angle, and then find the remaining angle within one complete revolution.
To find the number of complete revolutions within 1,406°, divide 1,406 by 360:
1,406 ÷ 360 = 3 remainder 226
This means that there are 3 complete revolutions, with an additional 226° remaining.
To find the reference angle, we take the remaining angle (226°) and subtract it from 360°:
360° - 226° = 134°
Therefore, the reference angle for 1,406° is 134°.