Finding a Power of a Complex Number In Exercises 107-126, use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. 107. (1+i)³ 108. (2+2)6 109. (-1 + i)6 110. (3-3i) 111. 2√√3-i)5 112. 4(1-√31)³ 113. [5(cos 140° + i sin 140°)]³ 114. [3(cos 150° + i sin 150°)]¹ 577 10 115. 4 116. 57 COS - 4 [2(cos 2 cos + i sin 1 2 + i sin 9)] 2 T ())) *** 1 14 15
Finding a Power of a Complex Number In Exercises 107-126, use DeMoivre's Theorem to find the indicated power of the complex number. Write the result in standard form. 107. (1+i)³ 108. (2+2)6 109. (-1 + i)6 110. (3-3i) 111. 2√√3-i)5 112. 4(1-√31)³ 113. [5(cos 140° + i sin 140°)]³ 114. [3(cos 150° + i sin 150°)]¹ 577 10 115. 4 116. 57 COS - 4 [2(cos 2 cos + i sin 1 2 + i sin 9)] 2 T ())) *** 1 14 15
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 107
![Finding a Power of a Complex Number In Exercises
107-126, use DeMoivre's Theorem to find the indicated
power of the complex number. Write the result in
standard form.
A
107. (1+i)³
108. (2+2)6
109. (-1 + i)6
110. (3-3i)8
111. 2√√3-i)5
112. 4(1-√3i)³
113. [5(cos 140° + i sin 140°)]³
114. [3(cos 150° + i sin 150°)]4
57710
4
115.
116.
COS
5″
4
[2(cos
+ i sin
1
2 cos + i sin
1
112
14
15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F085e24e4-6db3-44bd-bedd-407e7fcd33ea%2F5070e670-4eb8-4956-b52f-5b22b039f35f%2F3i6x45_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Finding a Power of a Complex Number In Exercises
107-126, use DeMoivre's Theorem to find the indicated
power of the complex number. Write the result in
standard form.
A
107. (1+i)³
108. (2+2)6
109. (-1 + i)6
110. (3-3i)8
111. 2√√3-i)5
112. 4(1-√3i)³
113. [5(cos 140° + i sin 140°)]³
114. [3(cos 150° + i sin 150°)]4
57710
4
115.
116.
COS
5″
4
[2(cos
+ i sin
1
2 cos + i sin
1
112
14
15
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