How to work with complex numbers in calculator

Model : CASIO fx-570MS, CASIO fx-991MS, CASIO  fx-100MS

The number that has a negative square value is called a complex number. It has a real part and an imaginary part.The imaginary part includes i (=√-1). a+ib is a complex number where a is the real part and ib is the imaginary part.This format is known as rectangular format.Complex numbers are also presented in another format that is known as polar format. r∠θ° is a representation of complex number in polar format.

Example:  Calculate (5+2i)*2∠30°.(Ans: 6.66+8.46i)

Solution:

(Mode initialization)

MODE >> 2(CMPLX)

(Calculation)
( >> 5 >> + >> 2 >> ENG(i) >> ) >> * >> 2 >> SHIFT >> (-) >> 3 >> 0 >> .,,,(Degree symbol) >> =(Real part) >> SHIFT >> = (Imaginary part)

By default calculator will provide answer in a+ib format.

Example: Convert 2+3i into polar(r∠θ°) form and 4∠30° into rectangular(a+ib) form. ( Ans: 3.61∠56.31° and 3.46+2i )

Solution:
(Mode initialization)
MODE >> 2(CMPLX)

(Conversion of 2+3i )
2 >> + >> 3 >> ENG >> SHIFT >> + >> =(r) >> SHIFT >> = (∠θ°)

(Conversion of 4∠30°)
4 >> SHIFT >> (-) >> 3 >> 0 >> .,,,(Degree symbol) >> SHIFT >> - >> =(a) >> SHIFT >> = (ib)