How to convert between function forms of single frequency signals I have an equation x(t) = (3+4j)*e^(j*8*pi*t)+(3-4j)*e^(-j*8*pi*t) and am trying to convert between this and shifted sines and cosines. I'm attempting mash this through euler's formula and got a 10 for the peak amplitude. Omega is 8*pi, but I'm struggling with the finding the phase shifts for the sine and cosine and the amplitudes on the individual sines/cosines: A*cos(2*pift)+B*sin(2*pift). 

Is this making sense? Can anyone point me in the right direction? Please and thank you!!
Easier yet.

$$
\begin{aligned}
 ( 3 + 4j ) e^{j\rho} + ( 3 - 4j ) e^{-j\rho} 
&amp;= 3 ( e^{j\rho} + e^{-j\rho} ) + 4j( e^{j\rho} - e^{-j\rho} ) \\
&amp;= 3(2 \cos(\rho)) + 4j( 2j\sin(\rho)) \\
&amp;= 6 \cos(\rho) - 8 \sin(\rho)
\end{aligned}
$$