Euler Formula: Understanding (4.25) to (4.26)

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SUMMARY

The discussion focuses on the transition from the expression \( ae^{jwt} + be^{-jwt} \) to the form \( Asin(wt + \theta) \) using Euler's formula. Participants emphasized the importance of understanding the underlying trigonometric identities that facilitate this conversion. The discussion also highlighted the need for clarity in identifying exponents in the provided formulas. Ultimately, the user successfully grasped the concept after engaging with the explanations provided.

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can someone explain how you go from (4.25) to (4.26) using Euler's formulas in the attachment?
 

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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
 

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