Lesson 1102 of 1524
Trigonometric Functions
In addition to degrees, the measure of an angle can be described in radians
Practice this chapterIn addition to degrees, the measure of an angle can be described in radians A positive angle is measured counterclockwise from the initial side and a negative angle is measured clockwise
To convert between degrees and radians, use the proportion θ 180 = θ R π An angle is formed from the union of two rays, by keeping the initial side fixed and rotating the terminal side.
radian — the measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle. standard position — the position of an angle having the vertex at the origin and the initial side along the positive x -axis. ray — one point on a line and all points extending in one direction from that point; one side of an angle. coterminal angles — description of positive and negative angles in standard position sharing the same terminal side.
Worked example
What does “radian” mean in Trigonometric Functions?
- 1Use the wording this chapter gives for radian.
- 2The book says: the measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle.
- 3Do not use the meaning of standard position. That term means the position of an angle having the vertex at the origin and the initial side along the positive x -axis.
Result: the measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle
Why. That is the meaning this chapter gives for radian.
Do not swap radian and standard position. radian means the measure of a central angle of a circle that intercepts an arc equal in length to the radius of that circle. standard position means the position of an angle having the vertex at the origin and the initial side along the positive x -axis.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.