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Complex number calculations (cmplx), Cmplx mode calculation examples – Casio fx-991ES PLUS User Manual

Page 19

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E-18

To generate random integers in the range of 1 to 6

(RanInt) 1 (,) 6

2

6

1

(Results shown here are for illustrative purposes only. Actual results will differ.)

To determine the number of permutations and combinations

possible when selecting four people from a group of 10

Permutations:

10

(nPr) 4

5040

Combinations:

10

(nCr) 4

210

To perform the following calculations when Fix 3 is selected for the

number of display digits: 10 ÷ 3

s 3 and Rnd(10 ÷ 3) s 3 1

(SETUP)(Fix)

10

3 3

10.000

(Rnd) 10 3 3

9.999

Complex Number Calculations
(CMPLX)

To perform complex number calculations, first press

(CMPLX) to

enter the CMPLX Mode. You can use either rectangular coordinates (

a

+

bi

)

or polar coordinates (

r

θ) to input complex numbers. Complex number

calculation results are displayed in accordance with the complex number
format setting on the setup menu.

(2 + 6

i

) ÷ (2

i

) = 3 –

i

(Complex number format:

a

+

bi

)

2 6 $(

i

)

2 $(

i

)

3–

i

2



'

2 +

'

2

i

B (Complex number format:

a

+

bi

)

2

() 45

'

2 +

'

2

i

'

2 +

'

2

i

= 2



r



θ

)

i

)

2



45

Note: • If you are planning to perform input and display of the calculation
result in polar coordinate format, specify the angle unit before starting the
calculation. • The

θ

value of the calculation result is displayed in the range

of –180°

θ

is selected will show

a

and

bi

(or

r

and

θ

) on separate lines.

CMPLX Mode Calculation Examples

(1

i

)

–1

= 1

2

1

2

+

i

(Complex number format:

a

+

bi

)

1 $(

i

)

1
2

1
2

+

i

(1

+

i

)

2

+ (1 –

i

)

2

= 0

1 $(

i

)

7 1 $(

i

)

7

0

15

15

16

16

17

17

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