Radians & the Unit Circle REVIEW

Front

What is a radian?

Back

A radian is a unit of angular measure defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.

Front

How do you convert degrees to radians?

Back

Front

What are co-terminal angles?

Back

Co-terminal 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° (or 2π radians).

Front

Find the co-terminal angles of 330°.

Back

The co-terminal angles of 330° are 690° (330° + 360°) and -30° (330° - 360°).

Front

What is the reference angle for an angle of 330°?

Back

The reference angle for 330° is 30°, as it is the acute angle formed with the x-axis.

Front

What is the relationship between the angles in a 30-60-90 triangle?

Back

Front

What is the length of the hypotenuse in a 30-60-90 triangle if the shorter leg is 4?

Back

The length of the hypotenuse is 8, as it is twice the length of the shorter leg.

Front

How do you find the terminal side of an angle in standard position?

Back

To find the terminal side of an angle in standard position, start at the positive x-axis and rotate counterclockwise for positive angles or clockwise for negative angles.

Front

What quadrant is -700° located in?

Back

The terminal side of -700° is in Quadrant 1.

Front

What is the formula for finding coterminal angles?

Back

Coterminal angles can be found using the formula: angle ± 360°n, where n is any integer.