PI 12 Angle + Radian Intro

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° (or 2π radians).

Front

How do you find a negative coterminal angle?

Back

To find a negative coterminal angle, subtract 360° (or 2π radians) from the given angle until the result is negative.

Front

What is the standard position of an angle?

Back

An angle is in standard position when its vertex is at the origin of a coordinate system and its initial side lies along the positive x-axis.

Front

In which direction are positive angles measured from standard position?

Back

Positive angles are measured counterclockwise from the positive x-axis.

Front

In which direction are negative angles measured from standard position?

Back

Negative angles are measured clockwise from the positive x-axis.

Front

What is the relationship between degrees and radians?

Back

Front

Back

Front

What is the reference angle for an angle of -145°?

Back

The reference angle for -145° is 145°, as it is the acute angle formed with the x-axis.

Front

How do you sketch an angle in standard position?

Back

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

Front

What is the value of the cotangent function?

Back

The cotangent function is defined as the ratio of the adjacent side to the opposite side in a right triangle, or as the reciprocal of the tangent function.