standard position
An angle drawn on the x-y plane starting on the positive x-axis and turning counterclockwise.
In mathematics, the standard position refers to the initial position of a geometric object. For example, the standard position of a point in the Cartesian coordinate system is located at the origin (0, 0). The standard position of an angle is when its initial side coincides with the positive x-axis and its vertex is located at the origin.
In polar coordinates, the standard position is when the pole (the origin point) is located at (0,0) and the initial ray lies on the positive x-axis, pointing towards the positive y-axis.
It is important to establish the standard position in order to accurately measure and describe the properties of geometric objects, such as angles and lines. By defining a standard position, we can ensure that our measurements and calculations are consistent and comparable across different objects.
More Answers:
Coterminal Angles in Trigonometry: Understanding its Significance and Calculation MethodsUnderstanding Negative Angles: Definition, Examples, and Applications.
Understanding Positive Angles: Measuring Counterclockwise from the Initial Side.