Co-Terminal Angles and Converting Degrees and Radians

Front

What is the formula to convert from radians to degrees?

Back

Multiply by \( \frac{180}{\pi} \)

Front

What is the formula to convert from degrees to radians?

Back

Multiply by \( \frac{\pi}{180} \)

Front

What is a co-terminal angle?

Back

An angle that shares the same terminal side as another angle, differing by a multiple of \(360^{\circ}\) or \(2\pi\) radians.

Front

Which angle is co-terminal to \(\frac{\pi}{4}\)?

Back

\(\frac{9\pi}{4}\)

Front

What is the standard position of an angle?

Back

The initial side of the angle is on the positive x-axis.

Front

Convert \(150^{\circ}\) to radians.

Back

\(\frac{5\pi}{6}\)

Front

Convert \(\frac{\pi}{3}\) radians to degrees.

Back

\(60^{\circ}\)

Front

What is the value of \(\frac{3\pi}{2}\) in degrees?

Back

\(270^{\circ}\)

Front

What is the value of \(\frac{2\pi}{3}\) in degrees?

Back

\(120^{\circ}\)

Front

How do you find a co-terminal angle in radians?

Back

Add or subtract multiples of \(2\pi\).