# High School Math : Understanding Coterminal Angles

## Example Questions

### Example Question #1 : Understanding Coterminal Angles

Which of the following angles is coterminal with ?      Explanation:

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.

### Example Question #1 : Understanding Coterminal Angles

Find a coterminal angle for       Explanation:

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 ### Example Question #3 : Understanding Coterminal Angles

Which of the following angles is coterminal with ? Each angle given in the other choices is coterminal with .   Each angle given in the other choices is coterminal with .

Explanation:

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 .

### Example Question #1 : Understanding Coterminal Angles        Explanation:  . ### Example Question #22 : Trigonometry

Which of the following choices represents a pair of coterminal angles?      Explanation:

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 .

### All High School Math Resources 