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# Converting Complex Numbers

## Choosing a Calculator

The first example is applicable to most advanced calculators, while the second example is specific to Casio calculators. If you need help determining which calculator is best for you, see our review guide here: How to Buy a Calculator.

You can find our review of the Casio FX: Casio FX Calculator Review.

### 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.