Definition:Polar Form of Complex Number/Also known as
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Polar Form of Complex Number: Also known as
Some sources refer to polar form as trigonometric form.
As $\cos \theta + i \sin \theta$ appears so often in complex analysis, the abbreviation $\cis \theta$ is frequently seen.
Hence $r \paren {\cos \theta + i \sin \theta}$ can be expressed in the economical form $r \cis \theta$.
Sources
- 1957: E.G. Phillips: Functions of a Complex Variable (8th ed.) ... (previous) ... (next): Chapter $\text I$: Functions of a Complex Variable: $\S 3$. Geometric Representation of Complex Numbers
- 1965: Seth Warner: Modern Algebra ... (previous) ... (next): Chapter $\text I$: Algebraic Structures: $\S 1$: The Language of Set Theory
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Polar Form of Complex Numbers