Difference between revisions of "ComplexNumberFormulas" - Rhea

Revision as of 07:23, 29 October 2009

Complex Number Identities and Formulas
Euler's Formula and Related Equalities
Euler's formula	$e^{jw_0t}=\cos w_0t+j\sin w_0t$
Cosine function in terms of complex exponentials	$\cos\theta=\frac{e^{j\theta}+e^{-j\theta}}{2}$
Sine function in terms of complex exponentials	$\sin\theta=\frac{e^{j\theta}-e^{-j\theta}}{2j}$
Trigonometric Identities
note/name	identity
note/name	identity

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+{|
+|-
-=ComplexNumberFormulas=
+! colspan="2" style="background: #bbb; font-size: 110%;" | Complex Number Identities and Formulas
+|-
+! colspan="2" style="background: #eee;" | Euler's Formula and Related Equalities
+|-
-Put your content here . . .
+| align="right" style="padding-right: 1em;" | Euler's formula || <math>e^{jw_0t}=\cos w_0t+j\sin w_0t</math>
+|-
+| align="right" style="padding-right: 1em;" | Cosine function in terms of complex exponentials|| <math>\cos\theta=\frac{e^{j\theta}+e^{-j\theta}}{2}</math>
+|-
+| align="right" style="padding-right: 1em;" | Sine function in terms of complex exponentials||<math>\sin\theta=\frac{e^{j\theta}-e^{-j\theta}}{2j}</math>
-[[ MegaCollectiveTableTrial1|Back to MegaCollectiveTableTrial1]]
+|-
+! colspan="2" style="background: #eee;" | Trigonometric Identities
+|-
+| align="right" style="padding-right: 1em;" | note/name || identity
+|-
+| align="right" style="padding-right: 1em;" | note/name|| identity
+|-
+|}
+----
+[[ MegaCollectiveTableTrial1|Back to Collective Table]]