Use DeMoivre's theorem to find the indicated power. Write the answer in rectangular form. 3n 3n 2 cos , + i sin 4 4 3n cos + i sin %3D 4 4 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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 22E
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Use DeMoivre's theorem to find the indicated power. Write the answer in rectangular form.
-2
3n
3n
cos , + i sin
4
4
3n
cos
+ i sin
4
4
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:Use DeMoivre's theorem to find the indicated power. Write the answer in rectangular form. -2 3n 3n cos , + i sin 4 4 3n cos + i sin 4 4 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
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