Euler’s identity can be used to write any complex number in polar complex form,re^iθ, (yes like polargraphing). Write 2 + 4√3i and −1 in polar complex form. For example,i has polar coordinates(1,π/2) and its polarcomplex form is 1e^iπ/2= 1(cos(π/2)+i sin(π/2))= 1(0 +i (1)) =i.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Euler’s identity can be used to write any complex number in polar complex form,re^iθ, (yes like polargraphing). Write 2 + 4√3i and −1 in polar complex form. For example,i has polar coordinates(1,π/2) and its polarcomplex form is 1e^iπ/2= 1(cos(π/2)+i sin(π/2))= 1(0 +i (1)) =i.

Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
De Moivre's Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,