What is a positive coterminal angle to 47° that is between 500° and 1000° and a negative coterminal angle to 47° that is between - 500° and 0°?

Positive coterminal angle: 767 (degrees)

Negative coterminal angle: - 673 (degrees)

Between 500° and 1000° there is an angle which is coterminal to 0°:

2 · 360° = 720°

So the positive coterminal angle is: 720° + 47° = 767°.

Also between - 500° and 0° an angle which is coterminal to 0° is - 360°.

- 360° + 47° = - 313°

Answer:

Those anngles are: 767° and - 313°.