# 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.

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