SOLUTION: Use De Moivre's Theorem to show which integral powers of {{{ (-1+i) / sqrt( 2 ) }}} are real, and which are imaginary.
Algebra.Com
Question 1181339: Use De Moivre's Theorem to show which integral powers of are real, and which are imaginary.
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
D U P L I C A T E.
I just solved and answered it once. See this link
https://www.algebra.com/algebra/homework/complex/Complex_Numbers.faq.question.1181165.html
https://www.algebra.com/algebra/homework/complex/Complex_Numbers.faq.question.1181165.html
E N J O Y (!)
RELATED QUESTIONS
Use De Moivre's Theorem to show that integral powers of (-1 + i)/(√2) are real, and... (answered by ikleyn)
Use De Moivres Theorem to show which integral powers of {{{ (-1+i)/(sqrt (2)) }}} are... (answered by KMST)
Use de Moivre's Theorem to find the reciprocal of each number below.
-4sqrt(3) -... (answered by ikleyn)
Please use de Moivres Theorem to find [2-2 sqrt (3i)^10]. Write your answer in exact... (answered by Alan3354)
how do you use De Moivre's Theorem with n = 3 to express cos(3𝜃) and sin(3𝜃) in... (answered by robertb)
Use De Moivre's Theorem to find an expression for cot3(theta). (answered by robertb)
Find the indicated power using De Moivre's Theorem.
(1 +... (answered by Alan3354)
Use de Moivres theorem to obtain solutions to i z^n=i for n=3,4,5.
... (answered by jsmallt9)