Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
The principle argument of a complex number, denoted by Arg(z) is the argument of z which is in-between -n and a (* is inclusive, -n is exclusive). Thus -n < Arg(z) < a. For example arg(-1+i) = *+2k#, and Arg(-1+i) = *; Arg(1–i): 1. What is the principle argument of –1 – v3i? Find all In(-1 – v3i) and the orinciple logarithm Ln(-1– 3i) (use the principle argument).

The principle argument of a complex number, denoted by Arg(z) is the argument of z which is in-between -n and a (* is inclusive, -n is exclusive). Thus -n < Arg(z) < a. For example arg(-1+i) = *+2k#, and Arg(-1+i) = *; Arg(1–i): 1. What is the principle argument of –1 – v3i? Find all In(-1 – v3i) and the orinciple logarithm Ln(-1– 3i) (use the principle argument).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
The principle argument of a complex number, denoted by Arg(z) is the argument of z which is in-between -n and a (n is inclusive, -n is exclusive). Thus -7 < Arg(z) < 7. For example arg(-1+i) = *+2kn, and Arg(-1+i) = *; Arg(1-i) = -1. What is the principle argument of –1 – v3i? Find all In(-1- V3i) and the principle logarithm Ln(-1 - V3i) (use the principle argument).
Transcribed Image Text:The principle argument of a complex number, denoted by Arg(z) is the argument of z which is in-between -n and a (n is inclusive, -n is exclusive). Thus -7 < Arg(z) < 7. For example arg(-1+i) = *+2kn, and Arg(-1+i) = *; Arg(1-i) = -1. What is the principle argument of –1 – v3i? Find all In(-1- V3i) and the principle logarithm Ln(-1 - V3i) (use the principle argument).
Expert Solution
Step 1

For complex number x +iy 

1st we will find α using tan α =yx

Then depends on quadrant principle argument θ can be found 

1st quadrant  θ=α

2nd quadrant θ=π-α

3rd quadrant θ=α-π

4th quadrant  θ=-α

 

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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,
SEE MORE TEXTBOOKS