Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [2(cos 75° + i sin 75°)]³ ... [2(cos 75° + i sin 75°)]³ = (Simplify your answer, including any radicals. Type your answer in the form a + bi. Use integers or fractions for any numbers in the expression. Rationalize all denominators.)

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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Use DeMoivre's Theorem to find the indicated power of the complex number.
Write the answer in rectangular form.
[2(cos 75° + i sin 75°)]³
...
[2(cos 75° + i sin 75°)]³ =
(Simplify your answer, including any radicals. Type your answer in the form
a+bi. Use integers or fractions for any numbers in the expression.
Rationalize all denominators.)
Transcribed Image Text:Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [2(cos 75° + i sin 75°)]³ ... [2(cos 75° + i sin 75°)]³ = (Simplify your answer, including any radicals. Type your answer in the form a+bi. Use integers or fractions for any numbers in the expression. Rationalize all denominators.)
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