Converting Complex Numbers

Polar to Rectangular Forms Using Calculator

Example 1:

Convert 56 ∠ 27° to rectangular form (x + jy).

Keystrokes Display
56 56
math expression 56
27 27
math expression 49.89636535 (= x)
math expression 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 ∠ q).

For CASIO calculator...

Keystrokes Display
12 12
math expression 12
42 42
math expression -42
math expression 43.68065934 (= r)
math expression -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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