Coterminal Angles

Front

What are coterminal angles?

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position. They can be found by adding or subtracting multiples of 360 degrees (or 2π radians).

Front

How do you find a coterminal angle for a given angle in degrees?

Back

To find a coterminal angle in degrees, add or subtract 360 degrees until the angle is within the range of 0 to 360 degrees.

Front

How do you find a coterminal angle for a given angle in radians?

Back

To find a coterminal angle in radians, add or subtract 2π until the angle is within the range of 0 to 2π.

Front

Find a coterminal angle to 480 degrees.

Back

120 degrees.

Front

Which of the following is a negative coterminal angle of 165 degrees? -165, 525, -525, -555

Back

-555 degrees.

Front

Find a coterminal angle to -180 degrees.

Back

180 degrees.

Front

Back

Front

Back

Front

What is the formula to find a coterminal angle?

Back

Coterminal angle = original angle ± n(360°) or ± n(2π), where n is an integer.

Front

If an angle is 720 degrees, what is one of its coterminal angles?

Back

360 degrees.