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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: A unit circle with sine (sin), cosine (cos), tangent (tan), cotangent (cot), versine (versin), coversine (cvs), exsecant (exsec), excosecant (excsc) and (indirectly) also secant (sec), cosecant (csc) as well as chord (crd) and arc labeled as trigonometric functions of angle theta. It is designed as alternative construction to "Circle ...
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.
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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Trigonometric functions and their reciprocals on the unit circle. All of the right-angled triangles are similar, i.e. the ratios between their corresponding sides are the same. For sin, cos and tan the unit-length radius forms the hypotenuse of the triangle that defines them.
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