Equation of Unit Circle in Complex Plane/Proof 1
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Theorem
Consider the unit circle $C$ whose center is at $\tuple {0, 0}$ on the complex plane.
Its equation is given by:
- $\cmod z = 1$
where $\cmod z$ denotes the complex modulus of $z$.
Proof
From Equation of Unit Circle, the unit circle whose center is at the origin of the Cartesian $xy$ plane has the equation:
- $x^2 + y^2 = 1$
Identifying the Cartesian $xy$ plane with the complex plane:
This theorem requires a proof. In particular: Can't think of the precise words I need for this at the moment You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |