To solve the problems of a complex numbers (manual method), you should have a scientific calculator. An example Casio S-V.P.A.M fx-570w as I use to my scientific calculator, that looks like the picture below.
Operating a scientific calculator you notice calculator buttons present in a [ ] that will be described below, this applies to brands and types of scientific calculator in general.
1. Conversion the complex numbers rectangular form into polar form
Example: 30 + j25 = ?
r (abs) = [ SHIFT ] [ Pol( ] [ 30 ] [ , ] [ 25 ] [ ) ] [ = ] 39.05125
φ (angle) = [ RCL ] [ F ] [ = ] 39.80557
Becomes: 30 + j25 = 39.05125 ∟ 39.80557°
2. Conversion the complex numbers polar form into rectangular form
Example: 40 ∟ 65° = ?
x (real) = [ SHIFT ] [ Rec( ] [ 40 ] [ , ] [ 65 ] [ ) ] [ = ] 16.90473
y (imaginary) = [ RCL ] [ F ] [ = ] 36.25231
Becomes: 40 ∟ 65° = 16.90473 + j36.25231
- Mode position calculator in D or Deg (degree)
- RCL-E and RCL-F is use to switch the value shown.