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Determine whether the following statement is true or false. If z = re is a complex number and n is an integer. Then z" =r" eie. Choose the correct answer below. The statement is true because according to De Moivre's Theorem, raising z = ree to the power n gives O A. z = re. OB. The statement is true because according to Euler's Formula, raising z = re O C. The statement is talse because according to Euler's Formula, raising z = re O D. The statement is false because according to De Moivre's Theorem, raising z=ree to the power n gives z = rei(ne) to the power n gives z=r^eio to the power n gives z" =r^ei(nº).

Determine whether the following statement is true or false. If z = re is a complex number and n is an integer. Then z" =r" eie. Choose the correct answer below. The statement is true because according to De Moivre's Theorem, raising z = ree to the power n gives O A. z = re. OB. The statement is true because according to Euler's Formula, raising z = re O C. The statement is talse because according to Euler's Formula, raising z = re O D. The statement is false because according to De Moivre's Theorem, raising z=ree to the power n gives z = rei(ne) to the power n gives z=r^eio to the power n gives z" =r^ei(nº).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 76E
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Determine whether the following statement is true or false. If z=reie is a complex number and n is an integer. Then z" = rneio Choose the correct answer below. The statement is true because according to De Moivre's Theorem, raising z = ree to the power n gives O A. z = re. O B. The statement is true because according to Euler's Formula, raising z=ree to the power n gives z" = rei O C. The statement is alse because according to Euler's Formula, raising z = re to the power n gives z" =r^ei(nº). O D. The statement is false because according to De Moivre's Theorem, raising z=ree to the power n gives z = rei(ne)
Transcribed Image Text:Determine whether the following statement is true or false. If z=reie is a complex number and n is an integer. Then z" = rneio Choose the correct answer below. The statement is true because according to De Moivre's Theorem, raising z = ree to the power n gives O A. z = re. O B. The statement is true because according to Euler's Formula, raising z=ree to the power n gives z" = rei O C. The statement is alse because according to Euler's Formula, raising z = re to the power n gives z" =r^ei(nº). O D. The statement is false because according to De Moivre's Theorem, raising z=ree to the power n gives z = rei(ne)
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