Casio fx-570MS - Manual (Page 28)

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Rotate 3 – 2 i 60 degrees around the origin of the complex
plane, and then determine the point with a ratio of 2 with
the origin as the center.
Defining r as the distance of point ( a , b ) from the
origin on the complex plane and
θ as the angle
formed with the positive part of the x -axis makes it possible to
express complex number z = a + bi as z = r (cos
θ +
i sin
θ).
This is called polar representation of complex number z .
Using polar representation for z
2
in the complex number
multiplication z
1
× z
2
gives us z
2
= r
2
(cos
θ
2
+ i sin
θ
2
). Now we
can rotate z
1
θ
2
° around the origin of the complex plane, giving
us a value with a ratio of r
2
with the origin as the center.
1 .
Select the CMPLX Mode.
F 2
2 .
Specify the angle unit .
F F F F 1
(Deg)
3 .
Input the polar form of the complex number, with r = 2, and
θ = 60. The values you input are
automatically converted to rectangular form on the display, but you can also display them in polar
form.
2 A Q 60 =
A r
Problems Involving Complex Numbers,
with an Emphasis on Polar Form
(fx-100MS/fx-115MS/fx-570MS/fx-991MS only)
Example 1 Example 1
Operation
Explanation Explanation
imaginary
real
60
°
2r
√ 3 – 2i
r