Flashcard 5-2 Review Problems 2 (2023)

Front

What is the conversion formula from radians to degrees?

Back

Degrees = Radians × (180/π)

Front

What is 3π/4 radians in degrees?

Back

135°

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°.

Front

Find a coterminal angle to 45°.

Back

405°

Front

What is a reference angle?

Back

A reference angle is the acute angle formed by the terminal side of an angle and the x-axis.

Front

What is the reference angle for 125°?

Back

55°

Front

How do you find a reference angle for angles greater than 180°?

Back

Subtract 180° from the angle if it is in the third quadrant or subtract the angle from 360° if it is in the fourth quadrant.

Front

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

Back

135°, -585°

Front

What is the reference angle for 2π/3?

Back

π/3

Front

How do you convert degrees to radians?

Back

Radians = Degrees × (π/180)