consider z=i e-¹/4 (note the “i” out front: this is NOT yet in the “standard polar form") a) Rewrite z in the form z = Aeie (What is the [real] value of A? What is the value of 0?) b) Plot z in the complex plane (y-axis = Im, x-axis = Re). For you to think about: could you describe what "multiply by i" does (in general) to any complex number in the complex plane?
consider z=i e-¹/4 (note the “i” out front: this is NOT yet in the “standard polar form") a) Rewrite z in the form z = Aeie (What is the [real] value of A? What is the value of 0?) b) Plot z in the complex plane (y-axis = Im, x-axis = Re). For you to think about: could you describe what "multiply by i" does (in general) to any complex number in the complex plane?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 42E
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