Question 1( b) Find all angles in radians from the complex equation, z3 − 2i = 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 1( b) Find all angles in radians from the complex equation,
z3 − 2i = 0.
Expert Solution
Step 1
Given:
The complex equation z3 − 2i = 0.
That is z3 = 2i.
Step 2
As z3 = 2i, therefore, r=2,
Therefore,
Step 3
Take the cube root of both sides of the above complex equation
By using De Moivre's theorem
for k=0,
Here angle is π/6.
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