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| − | = | + | ! colspan="2" style="background: #bbb; font-size: 110%;" | Complex Number Identities and Formulas |
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| − | + | ! colspan="2" style="background: #eee;" | Euler's Formula and Related Equalities | |
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| − | + | | 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 | + | |- |
| + | ! 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]] | ||
Revision as of 06:23, 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 |
