# 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).

Continues below

### 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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