determine the coterminal angle between -360 and 360 for -540
let's add 360 to -540 ----> -180
and another 360 -----> 180
So -540 degrees has two coterminal angles between -360 and 360, namely
+180 and -180 degrees
To find the coterminal angles for -540 degrees, we add or subtract multiples of 360 degrees until we reach an angle between -360 and 360 degrees.
Step 1: Start with the given angle -540 degrees.
Step 2: Add 360 degrees (one complete revolution) to -540 degrees:
-540 + 360 = -180 degrees
Step 3: Since -180 degrees is between -360 and 360 degrees, it is a coterminal angle for -540 degrees.
Therefore, the coterminal angle between -360 and 360 degrees for -540 degrees is -180 degrees.
To determine the coterminal angle between -360 and 360 for -540 degrees, we need to find angles that end up in the same position on the coordinate plane.
First, let's find the coterminal angle in the positive direction:
- Start with -540 degrees.
- Add 360 degrees to -540 degrees: -540 + 360 = -180 degrees.
- Now the angle is -180 degrees.
Next, let's find the coterminal angle in the negative direction:
- Start with -540 degrees.
- Subtract 360 degrees from -540 degrees: -540 - 360 = -900 degrees.
- Now the angle is -900 degrees.
So, the coterminal angles between -360 and 360 for -540 degrees are -180 degrees and -900 degrees.