Coterminal angles are angles, which share a common terminal side.
820 ° = 2 * 360 ° + 100 ° = 720 ° + 100 °
Coterminal angle = 100 °
820 ° = 2 * 360 ° + 100 ° = 720 ° + 100 °
Coterminal angle = 100 °
820 degrees - 2(360 degrees) = 100 degrees
Ta-da! The angle 100 degrees is coterminal with 820 degrees and falls within the range of 0 to 360 degrees. So there you have it, a perfectly clownish angle!
First, let's subtract 360 degrees from 820:
820 - 360 = 460
Since 460 degrees is still greater than 360, let's subtract 360 degrees again:
460 - 360 = 100
Now we have an angle of 100 degrees, which is within the range of 0 to 360 degrees. Therefore, the angle that is coterminal with 820 degrees between 0 and 360 degrees is 100 degrees.
Starting with 820 degrees:
1. Subtract 360 degrees: 820 - 360 = 460 degrees
2. Subtract another 360 degrees: 460 - 360 = 100 degrees
Now, 100 degrees is an angle between 0 and 360 degrees that is coterminal with 820 degrees.