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a) Calculate z= 3√3 as a complex number in cartesian representation. 2-√3i b) Rewrite your result as z = |2|(a + ib). Use the unit circle on page 1 to find arg(z). c) Calculate the three cubic roots of z in the cartesian representation, and sketch them in the complex plane. (You do not have to calculate the sin and cos.)

a) Calculate z= 3√3 as a complex number in cartesian representation. 2-√3i b) Rewrite your result as z = |2|(a + ib). Use the unit circle on page 1 to find arg(z). c) Calculate the three cubic roots of z in the cartesian representation, and sketch them in the complex plane. (You do not have to calculate the sin and cos.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 38E
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3√3-i as a complex number in cartesian representation. 2-√3i b) Rewrite your result as z = |z|(a + ib). Use the unit circle on page 1 to find arg(z). c) Calculate the three cubic roots of z in the cartesian representation, and sketch them in the complex plane. (You do not have to calculate the sin and cos.) a) Calculate z =
Transcribed Image Text:3√3-i as a complex number in cartesian representation. 2-√3i b) Rewrite your result as z = |z|(a + ib). Use the unit circle on page 1 to find arg(z). c) Calculate the three cubic roots of z in the cartesian representation, and sketch them in the complex plane. (You do not have to calculate the sin and cos.) a) Calculate z =
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