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 positive coterminal angle for a given angle?

Back

To find a positive coterminal angle, add 360 degrees to the given angle until the result is positive.

Front

How do you find a negative coterminal angle for a given angle?

Back

To find a negative coterminal angle, subtract 360 degrees from the given angle until the result is negative.

Front

Find a coterminal angle to -180 degrees.

Back

180 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 45 degrees.

Back

405 degrees.

Front

What are the negative and positive coterminal angles of 240 degrees?

Back

600 degrees and -120 degrees.

Front

What are the negative and positive coterminal angles of -225 degrees?

Back

135 degrees and -585 degrees.

Front

If an angle is 90 degrees, what is one of its coterminal angles?

Back

450 degrees.

Front

What is the formula to find coterminal angles?

Back

Coterminal angles can be found using the formula: angle ± 360n, where n is any integer.