Using Euler's formula for cos/sin 12 degrees and cos/sin 48 degrees $(\cos12^\circ+i\sin12^\circ+\cos48^\circ+i\sin48^\circ)$. Using Euler's Formula, turn this into exponential form (i.e. something like $e^{i\frac{5\pi}{12}}$). 
Would I need to use the $\cos$ and $\sin$ sum and difference formulas? I tried doing that and it became messy very quickly. Is there an alternative? 

Would an answer like $$e^{i\frac{\pi}{15}}+e^{i\frac{7\pi}{30}}$$ suffice? Because that is the simplest form I got to.
