Terminal Side Of An Angle Definition Math

Positioning initial and terminal sides.

Terminal side of an angle definition math. Negative angles are angles such that their initial side is the positive x axis and their terminal side is determined by turning in a clockwise direction. Terminal side of an angle. Coterminal angles are angles that share the same initial side and terminal side. An angle in 2d formed between 2 straight lines has an initial side and a terminal side.

The ray where measurement of an angle stops. This definition of an angle places no restriction on the magnitude of an angle how far it can rotate. If the terminal ray moves clockwise instead of counterclockwise then the measure is a negative value. The initial side is where the angle starts and the terminal side is the ray where the measurement of the angle stops therefore the terminal side defines the angle.

Two angles which share terminal sides but differ in size by an integer multiple of a turn are called coterminal angles. An angle defined as the rotation of a single ray note that a ray can rotate all the way around to its initial position and possibly further and still result in an angle with an initial and terminal side. In trigonometry an angle is usually drawn in what is called the standard position as shown above. Positive angles are angles such that their initial side is the positive x axis and their terminal side is determined by turning in a counterclockwise direction.

Angles that have the same measure i e. All right angles are equal in measure. But before fully focusing on coterminal angles though it helps to learn about the initial side and terminal side of an angle first. Terminal and initial sides of angles.

In this position the vertex b of the angle is on the origin with a fixed side lying at 3 o clock along the positive x axis. Initial side coterminal angles side of a polygon. The ray on the x axis is called the initial side and the other ray is called the terminal side. An angle in standard position has its vertex at the origin of the coordinate plane.

The other side of the angle is called the terminal side. Its initial ray starting side lies along the positive x axis its terminal ray ending side moves counterclockwise from the initial side. This page updated 19 jul 17 mathwords. Terms and formulas from algebra i to calculus written illustrated and webmastered by bruce simmons.

An angle is in standard position in the coordinate plane if its vertex is located at the origin and one ray is on the positive x axis. One side of the angle is always fixed along the positive x axis that is going to the right along the axis in the 3 o clock direction line bc. See also angle definition and properties trigonometry. Terminal sides of angles positive angles.

This is called the initial side of the angle.