Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [√₂ cos 5л 6 [√₂ (₁ + i sin 5л 6 10 5л 5n 2 cos + i sin 5-10-0 = 6 6 (Simplify your answer. Type an exact answer, using radicals and i as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.6: De Moivre’s Theorem And Nth Roots Of Complex Numbers
Problem 10E
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Use DeMoivre's Theorem to find the indicated power of the complex number. Write the
answer in rectangular form.
[√₂ [cos
5л
6
[√₂ (₁
COS +isin
5л
6
10
5n
COS + i sin
51-0
6
6
(Simplify your answer. Type an exact answer, using radicals and i as needed.)
Transcribed Image Text:Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [√₂ [cos 5л 6 [√₂ (₁ COS +isin 5л 6 10 5n COS + i sin 51-0 6 6 (Simplify your answer. Type an exact answer, using radicals and i as needed.)
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