# Converting Complex Numbers

## Polar to Rectangular Forms Using Calculator

### Example 1

Convert `56\ ∠\ 27^@` to rectangular form (*x* + *jy*), where `j=sqrt(-1)`.

Keystrokes |
Display |

`56` | `56` |

`56` | |

`27` | `27` |

`49.89636535 (= x)` | |

`25.42346799 (= y)` |

Therefore, `56\ ∠\ 27^@ ≈ 49.9 + 25.4 j`

We have converted a complex number from polar form (using degrees) into rectangular form.

Of course, you have to be careful that you have your
calculator set correctly in **degrees** (or radians, if
required).

### Example 2

Convert `12 - 42j` to polar form (`r ∠ theta`).

For **CASIO** calculator...

Keystrokes |
Display |

`12` | `12` |

`12` | |

`42` | `42` |

`-42` | |

`43.68065934 (= r)` | |

`-74.0546041 (= θ)` |

Therefore:

Complex number in **rectangular** form: `12 - 42j`

Same complex number in **polar** form: `43.7 ∠ -74^@`

For **Sharp** calculator, it is a similar
process.

Consult your calculator manual for full details.

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