Perform the indicated operation and leave the answer in trigonometric form.

Question

15(cos245+isin245)/5(cos117+isin117)

Answer 1

By DeMoivre's Theorem, when dividing complex numbers in Trigonometric Form, we divide the magnitudes and subtract the arguments.

So, for this problem, we get (15/5)[cos(245°-117°) + isin(245°-117°)] = 3(cos128° + isin128°)