Complex Division/Examples
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Examples of Complex Division
Example: $\dfrac {3 + 4 i} {1 + 2 i}$
- $\dfrac {3 + 4 i} {1 + 2 i} = \dfrac {11} 5 - \dfrac 2 5 i$
Example: $\dfrac {1 - i} {1 + i}$
- $\dfrac {1 - i} {1 + i} = -i$
Example: $\dfrac {3 - 2 i} {-1 + i}$
- $\dfrac {3 - 2 i} {-1 + i} = \dfrac {-5 - i} 2$
Example: $\dfrac {1 + \sin \theta + i \cos \theta} {1 + \sin \theta - i \cos \theta}$
- $\dfrac {1 + \sin \theta + i \cos \theta} {1 + \sin \theta - i \cos \theta} = \sin \theta + i \cos \theta$
Example: $\dfrac {2 - 3 i} {4 - i}$
- $\dfrac {2 - 3 i} {4 - i} = \dfrac {11} {17} - \dfrac {10} {17} i$