Understanding Coterminal Angles - Math

For an angle to be coterminal with , that angle must be of the form for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

is the correct choice, since only that choice passes our test.

For an angle to be coterminal with , that angle must be of the form for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all four choices.

:

:

:

:

All four choices pass the test, so all four angles are coterminal with .

For two angles to be coterminal, they must differ by for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

The only angles that pass the test - and are therefore coterminal - are .

.

Coterminal angles are angles that, when drawn in the standard position, share a terminal side. You can find these angles by adding or subtracting 360 to the given angle. Thus, the only angle measurement that works from the answers given is .

For an angle to be coterminal with , that angle must be of the form for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

is the correct choice, since only that choice passes our test.

For an angle to be coterminal with , that angle must be of the form for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all four choices.

:

:

:

:

All four choices pass the test, so all four angles are coterminal with .

For two angles to be coterminal, they must differ by for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

The only angles that pass the test - and are therefore coterminal - are .

.

Coterminal angles are angles that, when drawn in the standard position, share a terminal side. You can find these angles by adding or subtracting 360 to the given angle. Thus, the only angle measurement that works from the answers given is .

For an angle to be coterminal with , that angle must be of the form for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

is the correct choice, since only that choice passes our test.

For an angle to be coterminal with , that angle must be of the form for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all four choices.

:

:

:

:

All four choices pass the test, so all four angles are coterminal with .

For two angles to be coterminal, they must differ by for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

The only angles that pass the test - and are therefore coterminal - are .

.

Coterminal angles are angles that, when drawn in the standard position, share a terminal side. You can find these angles by adding or subtracting 360 to the given angle. Thus, the only angle measurement that works from the answers given is .

For an angle to be coterminal with , that angle must be of the form for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

is the correct choice, since only that choice passes our test.

For an angle to be coterminal with , that angle must be of the form for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all four choices.

:

:

:

:

All four choices pass the test, so all four angles are coterminal with .

For two angles to be coterminal, they must differ by for some integer - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

:

:

:

:

:

The only angles that pass the test - and are therefore coterminal - are .

.