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Definition

The unit circle is a set of points satisfying the equation:
x^2 + y^2 = 1

Unit circle

A unit circle showing the coordinates of certain points.

The unit circle is a graph of a circle with radius equal to 1. It is important in mathematics as sine and cosine (and therefore all other trigonometric identities such as tangent) are defined as follows:
if \theta is an the angle between a line from the origin to a point on the circle and the x-coordinate, \sin(\theta) = y and \cos(\theta) = x.

Unit circle indentities

A unit circle showing the relationship of the trigonometric functions.

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