Casio fx-3650P, fx-3950P kAbsolute Value and Argument Calculation, kRectangular Form ↔ Polar Form Display, A r, A r, L 2 A Q45, Example 1:, 1 + iA Y<A r, A AR 3 + 4 iT, A aR 3 + 4 iT

kAbsolute Value and Argument Calculation

Supposing the imaginary number expressed by the rectangular form z = a + bi is represented as a point in the Gaussian plane, you can determine the absolute value (r) and argument (θ ) of the complex number. The polar form is r￿θ.

• Example 1: To determine the absolute value (r) and argument (θ ) of

3 + 4i (Angle unit: Deg)	(r = 5, θ = 53.13010235°)
Imaginary axis

(r  5)	Real axis
	A AR 3 + 4 iT <
(θ  53.13010235°)	A aR 3 + 4 iT <

•The complex number can also be input using the polar form r￿θ.

•Example 2: 2 ￿ 45  1
i

(Angle unit: Deg)	L 2 A Q45 <
	A r

kRectangular Form ↔ Polar Form Display

You can use the operation described below to convert a rectangular form complex number to its polar form, and a polar form complex number to its rectangular form. Press A rto toggle the display between the absolute value (r) and argument (θ).

• Example: 1 i ↔ 1.414213562 ￿ 45
(Angle unit: Deg)	1 + iA Y<A r

L 2 A Q45 A Z<A r

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