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Since C = 2πr, the circumference of a unit circle is 2π. In mathematics, a unit circle is a circle of unit radius—that is, a radius of 1. [1] Frequently, especially in trigonometry, the unit circle is the circle of radius 1 centered at the origin (0, 0) in the Cartesian coordinate system in the Euclidean plane.
English: All of the six trigonometric functions of an arbitrary angle θ can be defined geometrically in terms of a unit circle centred at the origin of a Cartesian coordinate plane.
In the table below, the label "Undefined" represents a ratio : If the codomain of the trigonometric functions is taken to be the real numbers these entries are undefined , whereas if the codomain is taken to be the projectively extended real numbers , these entries take the value ∞ {\displaystyle \infty } (see division by zero ).
English: This file was made to help understand rotation about the center of a unit circle according to the term used. On the left hand side, the clockwise rotation is displayed with key values: 0° rightward, -90° downward, -180° leftward, -270° upward, and -360° rightward again, making a full turn.
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The Unit Circle is a circle of radius 1 unit, oftenly used to define the functions of trigonometry. In this diagram, individual points on the unit circle are labeled first with its coordinates (exact values), with the angle in degree angular measure, then with radian angular measure. Points in the lower hemisphere have both positive and ...
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