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== Forms of Complex Numbers == | == Forms of Complex Numbers == | ||
| + | Rectangular: | ||
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| + | The basic form of a complex number in rectangular form is <math>z = a + jb</math> where <math>j = \sqrt{-1} </math>. <math>i</math> is sometimes used instead of <math>j</math> | ||
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| + | Polar: | ||
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| + | The polar representation of a complex number is given by <math>\rho cos(\Theta)+j\rho sin(\Theta) = \rho e^{j\Theta}</math>. This is also known as Euler's Identity. Using the coefficients of the rectangular form <math>\rho = \sqrt{a^2 + b^2}</math> and <math>\Theta = tan^{-1}(b/a)</math>. | ||
== Operations of Complex Numbers == | == Operations of Complex Numbers == | ||
Revision as of 17:37, 4 September 2008
Forms of Complex Numbers
Rectangular:
The basic form of a complex number in rectangular form is $ z = a + jb $ where $ j = \sqrt{-1} $. $ i $ is sometimes used instead of $ j $
Polar:
The polar representation of a complex number is given by $ \rho cos(\Theta)+j\rho sin(\Theta) = \rho e^{j\Theta} $. This is also known as Euler's Identity. Using the coefficients of the rectangular form $ \rho = \sqrt{a^2 + b^2} $ and $ \Theta = tan^{-1}(b/a) $.
