Positive coterminal angle = 688 degrees
Negative coterminal angle = -392 degrees
Solution:
Coterminal Angles are angles who share the same initial side and terminal sides.
Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians
Positive coterminal angle:
The positive coterminal angle of [tex]-32^{\circ}[/tex] is given as:
We have to find positive coterminal angle between 500° and 1000°
Between 500° and 1000° there is an angle which is coterminal to 0°:
2 x 360° = 720°
positive coterminal angle = [tex]-32^{\circ} + 720^{\circ} = 688^{\circ}[/tex]
Negative coterminal angle:
We have to find negative coterminal angle between – 500° and -50°
Negative coterminal angle = [tex]-32^{\circ} - 360^{\circ} = -392^{\circ}[/tex]
