Question 1. Find the six sixth roots of 1. Express them in Cartesian form and in polar form.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.3: Polar Form Of Complex Numbers; De Moivre's Theorem
Problem 3E
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Question 1. Find the six sixth roots of 1. Express them in Cartesian form and in polar
form.
Question 2.
(a) Describe and sketch the set of complex numbers satisfying the conditions
Re(z) > 2 and
Im(2) < 1.
(b) Describe and sketch the set of complex numbers satisfying the conditions
Arg(2) = -
and |2| > 1.
3
(c) Describe and sketch the set of complex numbers satisfying the condition
(|z| – 3) (|z| – 4) = 0
Transcribed Image Text:Question 1. Find the six sixth roots of 1. Express them in Cartesian form and in polar form. Question 2. (a) Describe and sketch the set of complex numbers satisfying the conditions Re(z) > 2 and Im(2) < 1. (b) Describe and sketch the set of complex numbers satisfying the conditions Arg(2) = - and |2| > 1. 3 (c) Describe and sketch the set of complex numbers satisfying the condition (|z| – 3) (|z| – 4) = 0
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