Unit Circle Complex Plane
Complex Numbers and Complex Plane are easily explained using the concept of unit circle. The equation of unit circle in complex form is,
|z| = 1
OR
x2+ y2 = 1
In Euler’s Form complex number is represented as,
z = eit = cos t + i(sin t)
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Unit Circle: Definition, Formula, Diagram and Solved Examples
Unit Circle is a Circle whose radius is 1. The center of unit circle is at origin(0,0) on the axis. The circumference of Unit Circle is 2π units, whereas area of Unit Circle is π units2. It carries all the properties of Circle. Unit Circle has the equation x2 + y2 = 1. This Unit Circle helps in defining various Trigonometric concepts.
The Unit Circle is often denoted as S1 generalization to higher dimensions is the unit sphere. Let’s understand more about Unit Circle, Formula and Solved examples in detail below.