Standard Position Math Definition
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Standard position of an angle initial side terminal side.
Standard position math definition. In this position the vertex of the angle b is on the origin of the x and y axis. An angle in standard position can be thought of as being created by the action of rotating a ray clockwise or counterclockwise about its endpoint. The ray on the x axis is called the initial side and the other ray is called the terminal side. An angle is in standard position if its vertex is at the origin and the initial side is on the positive x axis.
Definition of standard position. An angle in standard position is said to lie in the quadrant in which its terminal side lies. The position of an angle with its vertex at the origin of a rectangular coordinate system and its initial side coinciding with the positive x axis. An angle in standard position in the coordinate plane is an angle that has its vertex at the origin and its initial side along the positive x axis.
An angle drawn on the x y plane starting on the positive x axis and turning counterclockwise. 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 and if the vertex is at the origin 0. 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. An angle drawn on the x y plane starting on the positive x axis and turning counterclockwise.
This page updated 28 jul 14. In trigonometry an angle is usually drawn in what is called the standard position as shown below. Terms and formulas from algebra i to calculus. 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.
Summary standard position angles can exist anywhere in the coordinate plane where two rays share a common vertex.
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