Simplify complex exponentials : tsimplify

tsimplify simplifies transcendental expressions by rewriting the expression with complex exponentials.
It is a good idea to try other simplification instructions and call tsimplify if they do not work.
Input :

tsimplify((sin(7*x)+sin(3*x))/sin(5*x))

Output :

((exp((i)*x))^4+1)/(exp((i)*x))^2