For the angle 82 degrees, find the nearest two positive coterminal angles and the nearest two negative coterminal angles.

Answer 1

When finding the closest coterminal angles, you have to add 360 degrees to the original, and subtract 360 degrees from the original.

82 + 360 = 442 degrees

82 - 360 = -278 degrees

Answer 2

For angle 82° closest positive coterminal angles 83° + 360° = 443° and 83° + 2·360° = 803°.

Closest negative angles for 83°: 83° - 360° = - 277° and 83° = 83° - 2·360° = - 637°