Consider the equation z18 = (-1 + i). Find the value of z which satisfies this equation and which has the second smallest positive argument θ, 0 < θ < 2π. Express your answer as z = reiθ.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 64E
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Consider the equation z18 = (-1 + i). Find the value of z which satisfies this equation and which has the second smallest positive argument θ, 0 < θ < 2π. Express your answer as z = reiθ.

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