coterminal angles, convert radians and degrees

Front

What is a coterminal angle?

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° (or 2π radians) to/from the original angle.

Front

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

Back

To find a positive coterminal angle, add 360° (or 2π radians) 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° (or 2π radians) from the given angle until the result is negative.

Front

Find a coterminal angle to 45 degrees.

Back

405 degrees.

Front

What is the co-terminal angle of -80°?

Back

280°.

Front

Convert 150° to radians.

Back

5π/6 radians.

Front

Find a coterminal angle to 200 degrees.

Back

-160 degrees.

Front

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

Back

600°, -120°.

Front

How do you convert degrees to radians?

Back

Multiply the degree measure by π/180.

Front

How do you convert radians to degrees?

Back

Multiply the radian measure by 180/π.