Evaluate $2\left(\cos \frac{\pi}{12}+i \sin \frac{5 \pi}{12}\right) \cdot 3\left(\cos \frac{\pi}{4}+i \sin \frac{\pi}{4}\right)$

Short Answer

Evaluate $2\left(\cos \frac{\pi}{12}+i \sin \frac{5 \pi}{12}\right) \cdot 3\left(\cos \frac{\pi}{4}+i \sin \frac{\pi}{4}\right)$
Express your answer in trigonometric form.