Unit Circle Practice

Front

What is a coterminal angle?

Back

Coterminal angles are angles that share the same terminal side when drawn in standard position. To find a coterminal angle, you can add or subtract multiples of 360° (or 2π radians).

Front

How do you convert degrees to radians?

Back

To convert degrees to radians, use the formula: radians = degrees × (π/180). For example, 180° = 180 × (π/180) = π radians.

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, use the formula: degrees = radians × (180/π). For example, π radians = π × (180/π) = 180°.

Front

What is the reference angle for an angle of 300°?

Back

The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. For 300°, the reference angle is 360° - 300° = 60°.

Front

What is the reference angle for an angle of -135°?

Back

The reference angle is the acute angle formed by the terminal side of the given angle and the x-axis. For -135°, first convert to a positive angle: -135° + 360° = 225°. The reference angle is 225° - 180° = 45°.

Front

What is the angle in radians for 225°?

Back

To convert 225° to radians, use the formula: radians = degrees × (π/180). Thus, 225° = 225 × (π/180) = (5π/4) radians.

Front

Back

Front

What is the positive angle that represents point H in both radians and degrees?

Back

Front

What is the positive angle that represents point I in both radians and degrees?

Back

Front

How do you find a coterminal angle for -60°?

Back

To find a coterminal angle for -60°, add 360°: -60° + 360° = 300°. Thus, a coterminal angle is 300°.