Question

Question 44 Unsaved

Find the measure of an angle between 0° and 360° coterminal with an angle of -271° in standard position.

Question 44 options:

181°

91°

271°

89°

Answer 1

Coterminal angles are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

Answer: 89°

Answer 2

Coterminal angles are angles that have the same terminal sides in standard position.

Anytime we complete a full cycle( a complete revolution) we come back to the same terminal side.

Therefore to find all angles which are coterminal with
`-271\degree` we keep adding or subtracting
`360\degree`.

For the given interval, that is,
`0\degree` to
`360\degree`,

We add
`360\degree` so that we can obtain an angle coterminal with
`-271\degree` within this interval.

This means that

`-271\degree` is coterminal with
`360\degree + \: -271\degree=89\degree`

Hence the correct and answer is D