I have an equation in the time domain
$A||H(s)||\sin(\omega t+\angle H(s))$
I understand I can use the Euler equation for the sin term here. However the solution I have says the result after applying the Euler equation is
$\frac{AH(s) e^{j\omega t}-(AH(s))^{*}e^{-j\omega t} }{2j}$
I'm not quite sure why there is a complex conjugate of $AH(s)$. I thought the equation would just end up with $AH(s)$ multiplied with the euler formula for sine?