# Addition and subtraction method of a complex numbers

__Addition and subtraction method of a complex numbers__given by the problem, solved in rectangular form. Where has the rule: real part added (or subtracted) with real part, and imaginary part added (or subtracted) with imaginary part of a complex numbers.

Sample question 1: (30 +

x (

y (

(30 +

If there is a question addition (or subtraction) of polar and rectangular, then the polar form must be converted into rectangular form.

Sample question 2: (53 +

Conversion polar form (21 ∠ 22°) into rectangular form

21 ∠ 22° = 21 (cos 22 +

we have

x (

y (

(53 +

*j*25) + (13 −*j*5) = ?
Completion:

x (

*real*) = 30 + 13 = 43y (

*imaginary*) = 25 − 5 = 20
Result:

(30 +

*j*25) + (13 −*j*5) = 43 +*j*20If there is a question addition (or subtraction) of polar and rectangular, then the polar form must be converted into rectangular form.

Sample question 2: (53 +

*j*17) + (21 ∠ 22°) = ?
Completion:

Conversion polar form (21 ∠ 22°) into rectangular form

21 ∠ 22° = 21 (cos 22 +

*j*sin 22) = 19.47086 +*j*7.86674we have

x (

*real*) = 53 + 19.47086 = 72.47086y (

*imaginary*) = 17 + 7.86674 = 24.86674
Result:

(53 +

*j*17) + (21 ∠ 22°) = 72.47086 +*j*24.86674

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