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 (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.5: Demoivre’s Theorem
Problem 22E
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