Solving for the Fourth Root of i in Polar Form

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SUMMARY

The discussion focuses on evaluating the fourth root of the complex number i in polar form, specifically calculating i1/4. The angle for the complex number i is established as π/2. Participants express uncertainty regarding the use of the argument function, argd, which is crucial for determining the polar coordinates of complex numbers.

PREREQUISITES
  • Understanding of complex numbers and their polar representation
  • Familiarity with De Moivre's Theorem
  • Knowledge of the argument function in complex analysis
  • Basic trigonometry for angle calculations
NEXT STEPS
  • Study De Moivre's Theorem for complex number exponentiation
  • Learn about the argument function and its applications in complex analysis
  • Explore polar coordinates and their conversion from rectangular coordinates
  • Practice finding roots of complex numbers using polar form
USEFUL FOR

Students studying complex analysis, mathematicians working with polar coordinates, and anyone interested in solving complex number equations.

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Homework Statement



evaluate i^1/4

Homework Equations



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The Attempt at a Solution




don't know how to find the angle on argd
 
Physics news on Phys.org
What's argd? The angle for i is pi/2.

Do you know any relevant equations?

What have you tried to do?
 

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