High School Math : Understanding Coterminal Angles

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Understanding Coterminal Angles

Which of the following angles is coterminal with  ?

Possible Answers:

Correct answer:

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.

 

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

Example Question #2 : Understanding Coterminal Angles

Find a coterminal angle for 

Possible Answers:

Correct answer:

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 #1 : 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 .

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 .

Example Question #4 : Understanding Coterminal Angles

Possible Answers:

Correct answer:

Explanation:

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Example Question #2 : Understanding Coterminal Angles

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

Possible Answers:

Correct answer:

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 .

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