Euler Formula: Understanding (4.25) to (4.26)

Click For Summary

Discussion Overview

The discussion revolves around the transition from equation (4.25) to (4.26) using Euler's formulas, with a focus on understanding the mathematical steps involved. Participants seek clarification on the application of Euler's formula and trigonometric identities in this context.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant requests an explanation of the transition between two specific equations using Euler's formulas.
  • Another participant expresses difficulty in identifying the exponents in the uploaded attachment, suggesting a potential issue with the upload.
  • A third participant proposes using Euler's formula along with trigonometric identities to facilitate the understanding of the transition.
  • A later reply reiterates the request for clarification on how to convert the expression involving complex exponentials into a sine function.
  • One participant indicates they have resolved their confusion regarding the topic.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as participants express varying levels of understanding and clarity regarding the mathematical transition. Some participants are still seeking clarification while at least one has resolved their confusion.

Contextual Notes

Participants mention issues with the clarity of the uploaded material, which may affect the understanding of the equations in question. There is also a reliance on specific mathematical identities that may not be universally agreed upon or understood.

pinkcashmere
Messages
17
Reaction score
0
can someone explain how you go from (4.25) to (4.26) using Euler's formulas in the attachment?
 

Attachments

  • Untitled2.png
    Untitled2.png
    4.3 KB · Views: 524
Mathematics news on Phys.org
Although I downloaded and zoomed it I couldn't clearly identify the exponents. Did you test your upload?
 
fresh_42 said:
Although I downloaded and zoomed it I couldn't clearly identify the exponents. Did you test your upload?
Basically, I want to know how you go from
## ae^{jwt}## + ## be^{-jwt}##

to

##Asin(wt + \theta)##
 
ok, i got it now.
thanks
 

Similar threads

Undergrad How to solve this to calculate the input impedance?
  • · Replies 2 ·
Replies
2
Views
1K
Using Euler's formula to prove trig identities using "sum to product" technique
  • · Replies 4 ·
Replies
4
Views
2K
MHB Proof of Euler's Formula with No Angle Addition
  • · Replies 40 ·
2
Replies
40
Views
7K
Undergrad Extend Euler Product Convergence Over Primes: Basic Qs
  • · Replies 0 ·
Replies
0
Views
2K
Undergrad Can Angular Velocity Accurately Control Ragdoll Limbs in Game Physics?
  • · Replies 6 ·
Replies
6
Views
4K
Undergrad Graph Theory: (proof)conditions for Euler Circuit in Digraph
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Euler's Formula Contradiction?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Proof of double angle formulas using Euler's equation
  • · Replies 2 ·
Replies
2
Views
3K
High School Getting from complex domain to real domain
  • · Replies 3 ·
Replies
3
Views
2K
Simplifying expressions using Euler's formula
  • · Replies 1 ·
Replies
1
Views
2K