# Converting Complex Numbers

## Polar to Rectangular Forms Using Calculator

### Example 1

Convert `56\ ∠\ 27^@` to rectangular form (*x* +
*jy*).

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.

### Search IntMath, blog and Forum

### Online Algebra Solver

This algebra solver can solve a wide range of math problems.

Go to: Online algebra solver

### Algebra Lessons on DVD

Easy to understand algebra lessons on DVD. See samples before you commit.

More info: Algebra videos

### The IntMath Newsletter

Sign up for the free **IntMath Newsletter**. Get math study tips, information, news and updates each fortnight. Join thousands of satisfied students, teachers and parents!