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°

Question

asked Mar 20, 2019 34.9k views

2 Answers

Rhelminen · Answer 1 · 2019-03-22T06:18:03+0000

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

Leger · Answer 2 · 2019-03-25T11:08:01+0000

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