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    Unit circle - Wikipedia

    In mathematics, a unit circle is a circle of unit radius—that is, a radius of 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. In topology, it is often denoted as S because it is a one-dimensional unit n-sphere. See more

    The trigonometric functions cosine and sine of angle θ may be defined on the unit circle as follows: If (x, y) is a point on the unit circle, and if the … See more

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    The Julia set of discrete nonlinear dynamical system with evolution function: $${\displaystyle f_{0}(x)=x^{2}}$$ is a unit circle. It is a simplest case so it is widely used in the study of … See more

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