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Use DeMoivre's Theorem to find the 5th power of the complex number z = 2(cos 24° + i sin 24°). Express the answer in the rectangular form a + bi.

Use DeMoivre's Theorem to find the 5th power of the complex number z = 2(cos 24° + i sin 24°). Express the answer in the rectangular form a + bi.

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section4.4: Trigonometric Form Of A Complex Number
Problem 2ECP: Write the complex number z=3+4i in trigonometric form.
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Use DeMoivre's Theorem to find the 5th power of the complex number z = 2(cos 24° + i sin 24°). Express the answer in the rectangular form a + bi.
Transcribed Image Text:Use DeMoivre's Theorem to find the 5th power of the complex number z = 2(cos 24° + i sin 24°). Express the answer in the rectangular form a + bi.
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