$$Sin3x+Cos3x$$
$3\sin(x)\left(\cos(x)\right)^{2}-3\cos(x)\left(\sin(x)\right)^{2}+\left(\cos(x)\right)^{3}-\left(\sin(x)\right)^{3}$
$3\left(-3\sin(x)\left(\cos(x)\right)^{2}-3\cos(x)\left(\sin(x)\right)^{2}+\left(\sin(x)\right)^{3}+\left(\cos(x)\right)^{3}\right)$