Find the fourth roots of ~/~ -i. Write the roots in trigonometric form.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
1+√3
-i. Write the roots in trigonometric form.
2
2
W₁ = cos(30°) + i sin (30°)
W₂ = cos(120°) + i sin (120°)
W3 = cos(210°) + i sin(210⁰)
*4 = cos(300°) + i sin (300°)
W₁ = cos(35°) + i sin(35⁰)
W₂
cos(125°) + i sin (125°)
W3
-
cos (215°) + i sin (215°)
W4
=
cos (305°) + i sin (305°)
201 cos(20°) + i sin (20°)
=
W₂ = cos(110°) + i sin(110⁰)
W3 = cos(200°) + i sin (200°)
W4 = cos(290°) + i sin (290°)
W₁ = cos(40°) + i sin(40°)
W₂ = cos(130°) + i sin (130⁰)
W3 = cos(220°) + i sin (220°)
W4 = cos(310°) + i sin (310⁰)
W₁ = cos(250) + i sin (25⁰)
W₂ = cos(1150) + i sin(115⁰)
W3 = cos(2050) + i sin (205⁰)
W4 = cos(295°) + i sin (295⁰)
Find the fourth roots of
Transcribed Image Text:1+√3 -i. Write the roots in trigonometric form. 2 2 W₁ = cos(30°) + i sin (30°) W₂ = cos(120°) + i sin (120°) W3 = cos(210°) + i sin(210⁰) *4 = cos(300°) + i sin (300°) W₁ = cos(35°) + i sin(35⁰) W₂ cos(125°) + i sin (125°) W3 - cos (215°) + i sin (215°) W4 = cos (305°) + i sin (305°) 201 cos(20°) + i sin (20°) = W₂ = cos(110°) + i sin(110⁰) W3 = cos(200°) + i sin (200°) W4 = cos(290°) + i sin (290°) W₁ = cos(40°) + i sin(40°) W₂ = cos(130°) + i sin (130⁰) W3 = cos(220°) + i sin (220°) W4 = cos(310°) + i sin (310⁰) W₁ = cos(250) + i sin (25⁰) W₂ = cos(1150) + i sin(115⁰) W3 = cos(2050) + i sin (205⁰) W4 = cos(295°) + i sin (295⁰) Find the fourth roots of
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