$$\frac { ( \cos 2 \theta - i \sin 2 \theta ) ^ { 7 } ( \cos 3 \theta + i \sin 3 \theta ) ^ { - 5 } } { ( \cos 4 \theta - i \sin 4 \theta ) ^ { 12 } ( \cos 5 \theta + i \sin 5 \theta ) ^ { - 6 } }$$
