fx-ESPLUS Series / fx-ES Series
- Q4
- Is it possible to accomplish calculations of complex numbers specially in polar form with scientific calculators?
- A4
Yes. The arithmetic operations on complex numbers can be easily managed using the Calculators.
These kinds of calculations, which are used often in physical and technical fields, are explained here as a supplement to the calculator manual.
The complex numbers can be represented in two different forms:
Rectangular or Cartesian form: z = x+iy (In some notation j may be used instead of i.)
Polar or Phasor form: z = r∠θ or z = |z|e^θi. (In some notations φ may be used instead of θ.)
Example 1: Convert the complex number (z = -4+3i) into polar form.
1. In the COMPLEX Mode, set the angle unit to Degree (Deg).
[MODE] [2](COMPLEX)
[SHIFT] [MODE] [3](Deg)
[SHIFT] [MODE] [Down][3](CMPLX) [2](r∠θ )
2. Input the complex numbers z=-4+3i.
[(-)][4][+][3][ENG](i)[=]
The result in polar form : 5∠143.1301024
Example2: Convert the complex number (2∠60°) into rectangular form.
Input the complex numbers 2∠60°
[2][SHIFT][(-)](∠)[6][0]
[SHIFT][2](CMPLX)[4](->a+bi)[=]
Displayed Result (Natural Display): 1+√3i
Displayed Result (Line) :1+1.732050808i