### All High School Math Resources

## Example Questions

### Example Question #1 : Understanding Coterminal Angles

Which of the following angles is coterminal with ?

**Possible Answers:**

**Correct answer:**

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.

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

### Example Question #1 : Understanding Coterminal Angles

Find a coterminal angle for .

**Possible Answers:**

**Correct answer:**

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 #2 : Understanding Coterminal Angles

Which of the following angles is coterminal with ?

**Possible Answers:**

Each angle given in the other choices is coterminal with .

**Correct answer:**

Each angle given in the other choices is coterminal with .

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 .

### Example Question #4 : Understanding Coterminal Angles

**Possible Answers:**

**Correct answer:**

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### Example Question #5 : Understanding Coterminal Angles

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

**Possible Answers:**

**Correct answer:**

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 .