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Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [3( cos 80° + i sin 80°)]³ [3( cos 80° + i sin 80°)1³ = (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 the denominator.)

Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [3( cos 80° + i sin 80°)]³ [3( cos 80° + i sin 80°)1³ = (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 the denominator.)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter8: Complex Numbers And Polarcoordinates
Section8.4: Roots Of A Complex Number
Problem 41PS: Recall from the introduction to Section 8.2 that Jerome Cardans solutions to the equation x3=15x+4...
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Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [3( cos 80° + i sin 80°)]³ [3( cos 80° + i sin 80°)]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 the denominator.)
Transcribed Image Text:Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in rectangular form. [3( cos 80° + i sin 80°)]³ [3( cos 80° + i sin 80°)]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 the denominator.)
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