Finding Co-Terminal Angles in Degrees and Radians Circles

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 degrees (or 2π radians).

Front

How do you find a negative coterminal angle?

Back

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

Front

What is the formula to convert degrees to radians?

Back

Radians = Degrees × (π/180).

Front

What is the formula to convert radians to degrees?

Back

Degrees = Radians × (180/π).

Front

What is 360 degrees in radians?

Back

360 degrees is equal to 2π radians.

Front

What is the coterminal angle of 165 degrees?

Back

Coterminal angles can be found by adding or subtracting 360 degrees. For 165 degrees, one coterminal angle is 165 - 360 = -195 degrees.

Front

Convert 90 degrees to radians.

Back

90 degrees is equal to π/2 radians.

Front

Convert π/3 radians to degrees.

Back

π/3 radians is equal to 60 degrees.

Front

What is the coterminal angle of 0 degrees?

Back

The coterminal angle of 0 degrees is 360 degrees.

Front

What is 180 degrees in radians?

Back

180 degrees is equal to π radians.