# High School Math : Angles

## Example Questions

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### Example Question #21 : Trigonometry

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 #22 : Trigonometry

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.

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

Explanation:

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### Example Question #24 : 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.

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

### Example Question #11 : Angles

Which one of these is positive in quadrant III?

All trig functions

Sine

Tangent

No trig functions

Cosine