Question

Question 44 Unsaved

Answer 1

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

Answer 2

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°