Perform the operation shown below and leave the result in trigonometric form. $$\frac { 48 ( \cos 2.5 + i \sin 2.5 ) } { 8 ( \cos 1.3 + i \sin 1.3 ) }$$
A) $6 ( \cos 1.2 + i \sin 1.2 )$
B) $6 ( \cos 2.5 + i \sin 2.5 )$
C) $6 ( \cos 1.3 + i \sin 1.3 )$
D) $8 ( \cos 1.2 + i \sin 1.2 )$
E) $48 ( \cos 1.2 + i \sin 1.2 )$

Question

Quizplus · Accepted Answer

To divide two complex numbers in trigonometric form, you divide their magnitudes and subtract their angles. Here, $48/8 = 6$ and $2.5 - 1.3 = 1.2$, resulting in $6 ( \cos 1.2 + i \sin 1.2 )$.

Perform the Operation Shown Below and Leave the Result in Trigonometric