Question

What is a positive coterminal angle to -32° that is between 500° and 1000° and a negative

coterminal angle to -32° that is between – 500° and -50°?

Answer 1

Postitive: 688

negative: -392

Explanation:

Answer 2

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
`-32^(\circ)` 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 =
`-32^(\circ) + 720^(\circ) = 688^(\circ)`

Negative coterminal angle:

We have to find negative coterminal angle between – 500° and -50°

Negative coterminal angle =
`-32^(\circ) - 360^(\circ) = -392^(\circ)`