Casio JF-100MS User Guide - Page 10

k Absolute 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 (␪ ) of the complex number. The polar form is rЄ␪. • Example 1: To determine the absolute value (r) and argument (␪) of 3+4i (Angle unit: Deg) (r = 5, ␪ = 53.13010235°) Imaginary axis Real axis (r ҃ 5) (␪ ҃ 53.13010235°) A A R 3 + 4 i T = A a R 3 + 4 i T = • The complex number can also be input using the polar form rЄ␪. • Example 2: 2 Є 45 ҃ 1 ѿ i (Angle unit: Deg) L 2 A Q 45 = A r k Rectangular 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 r to toggle the display between the absolute value (r) and argument (␪ ). • Example: 1 ѿ i ↔ 1.414213562 Є 45 (Angle unit: Deg) 1 + i A Y = A r L 2 A Q 45 A Z = A r E-8