Casio FX-991ES User Guide - Page 44

Complex Number Calculations

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Complex Number Calculations (CMPLX) Your calculator can perform the following complex number calculations. • Addition, subtraction, multiplication, division • Argument and absolute value calculations • Reciprocal, square and cube calculations • Conjugate complex number calculations All calculations in this section are performed in the CMPLX Mode (N2). Appendix (1 + 3i) ÷ (2i) = -3 - -1 i 22 k Inputting Complex Numbers • In the CMPLX Mode, the W key changes function to become an imaginary number i input key. In this section, the W key is referred to as the i key. Use the i key when inputting a complex number of the format a + bi. The key operation below shows how to input 2 + 3i, for example. 2+3i CMPLX Math • You can also input complex numbers using polar coordinate format (r ∠ θ ). The key operation below shows how to input 5 ∠ 30, for example. 51y(∠)30 CMPLX Math • The angle unit for argument θ input and result display is the calculator's default angle unit. k Calculation Result Display Format Your calculator can display complex number calculation results in rectangular coordinate or polar coordinate format. You can select the coordinate format by configuring the calculator's setup. For more information, see "Specifying the Complex Number Display Format". Examples of Calculation Results Using Rectangular Coordinate Format (a + bi ) Example 1: 2 × ('3 + i) = 2'3 + 2i = 3.464101615 + 2i MATH CMPLX Math 2*(!3e+i)= E-42

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E-42
Complex Number Calculations
(CMPLX)
Your calculator can perform the following complex number
calculations.
• Addition, subtraction, multiplication, division
• Argument and absolute value calculations
• Reciprocal, square and cube calculations
• Conjugate complex number calculations
All calculations in this section are performed in the CMPLX Mode
(
N
2
).
3
1
Appendix
<#048> (1 + 3
i
)
÷
(2
i
) = — – —
i
2
2
k
Inputting Complex Numbers
• In the CMPLX Mode, the
W
key changes function to become an
imaginary number
i
input key. In this section, the
W
key is referred
to as the
i
key. Use the
i
key when inputting a complex number
of the format
a
+
b
i
. The key operation below shows how to input 2
+ 3
i
, for example.
2+3
i
Math
CMPLX
You can also input complex numbers using polar coordinate format
(
r
θ
). The key operation below shows how to input 5
30, for
example.
5
1
y
(
)
30
Math
CMPLX
• The angle unit for argument
θ
input and result display is the
calculator’s default angle unit.
k
Calculation Result Display Format
Your calculator can display complex number calculation results in
rectangular coordinate or polar coordinate format. You can select
the coordinate format by configuring the calculator’s setup. For more
information, see “Specifying the Complex Number Display Format”.
Examples of Calculation Results Using Rectangular
Coordinate Format (
a
+
bi
)
Example 1:
2
×
(
'
3 +
i
) = 2
'
3 + 2
i
= 3.464101615 + 2
i
MATH
2*(
!
3
e
+
i
)=
Math
CMPLX