Euler Formula: Understanding (4.25) to (4.26)

[pinkcashmere]

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

 

[fresh_42]

Although I downloaded and zoomed it I couldn't clearly identify the exponents. Did you test your upload?

 

[jedishrfu]

Have you tried using the Euler formula:

and some trig identities?

https://en.wikipedia.org/wiki/Euler's_formula

 

[pinkcashmere]

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

$Asin(wt + \theta)$

 

[pinkcashmere]

ok, i got it now.
thanks