Complex Number A | Complex Number A^{-1} | Complex Number B | Complex Number B^{-1} |

1 + i | 1/2 - 1/2i | 1 - i | 1/2 + 1/2i |

2 + 2i | 1/4 - 1/4i | 2 - 2i | 1/4 + 1/4i |

3 + 3i | 1/6 - 1/6i | 3 - 3i | 1/6 + 1/6i |

4 + 4i | 1/8 - 1/8i | 4 - 4i | 1/8 + 1/8i |

5 + 5i | 1/10 - 1/10i | 5 - 5i | 1/10 + 1/10i |

6 + 6i | 1/12 - 1/12i | 6 - 6i | 1/12 + 1/12i |

7 + 7i | 1/14 - 1/14i | 7 - 7i | 1/14 + 1/14i |

(½ + ½*i*)^{-1} = 1 - *i*

(½ - ½*i*)^{-1} = 1 + *i*

(1/3 + 1/3*i*)^{-1} = 1½ - 1½*i*

(1/3 - 1/3*i*)^{-1} = 1½ + 1½*i*

(√(2) + √(2)*i*)^{-1} = 1/(2√(2)) - 1/(2√(2))*i*

(√(2) - √(2)*i*)^{-1} = 1/(2√(2)) + 1/(2√(2))*i*

(π + π*i*)^{-1} = 1/(2π) - 1/(2π)*i*

(π - π*i*)^{-1} = 1/(2π) + 1/(2π)*i*

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© Derek Cumberbatch