Degrees, Radians, and Coterminal Angles

Front

What is the conversion formula from radians to degrees?

Back

Degrees = Radians × (180/π)

Front

What is 180 degrees in radians?

Back

π radians

Front

What is the value of 2π radians in degrees?

Back

360 degrees

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

Add 360 degrees (or 2π radians) to the given angle.

Front

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

Back

Subtract 360 degrees (or 2π radians) from the given angle.

Front

What is the coterminal angle of 240 degrees?

Back

600 degrees and -120 degrees.

Front

Convert 3π/2 radians to degrees.

Back

270 degrees.

Front

What is the relationship between degrees and radians in a circle?

Back

A full circle is 360 degrees or 2π radians.

Front

What is the value of π/6 radians in degrees?

Back

30 degrees.