Category:Examples of Arguments of Complex Numbers
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This category contains examples of Argument of Complex Number.
Let $z = x + i y$ be a complex number.
An argument of $z$, or $\arg z$, is formally defined as a solution to the pair of equations:
- $(1): \quad \dfrac x {\cmod z} = \map \cos {\arg z}$
- $(2): \quad \dfrac y {\cmod z} = \map \sin {\arg z}$
where $\cmod z$ is the modulus of $z$.
From Sine and Cosine are Periodic on Reals, it follows that if $\theta$ is an argument of $z$, then so is $\theta + 2 k \pi$ where $k \in \Z$ is any integer.
Pages in category "Examples of Arguments of Complex Numbers"
The following 8 pages are in this category, out of 8 total.
A
- Argument of Complex Number/Examples
- Argument of Complex Number/Examples/-1-i
- Argument of Complex Number/Examples/-3
- Argument of Complex Number/Examples/-i
- Argument of Complex Number/Examples/1+i
- Argument of Complex Number/Examples/2i
- Argument of Complex Number/Examples/3
- Argument of Negative Real Number is Pi