Perform the operation shown below and leave the result in trigonometric form.
$$\frac { 8 ( \cos 2.3 + i \sin 2.3 ) } { 4 ( \cos 1.7 + i \sin 1.7 ) }$$
A) $2 ( \cos 0.6 + i \sin 0.6 )$
B) $4 ( \cos 0.6 + i \sin 0.6 )$
C) $4 ( \cos 1.4 + i \sin 1.4 )$
D) $2 ( \cos 4 + i \sin 4 )$
E) $2 ( \cos 3.91 + i \sin 3.91 )$

Question

Quizplus · Accepted Answer

The division of complex numbers in trigonometric form is performed by dividing their magnitudes and subtracting their angles. Here, $8/4 = 2$ and $2.3 - 1.7 = 0.6$, resulting in $2 ( \cos 0.6 + i \sin 0.6 )$.

Perform the Operation Shown Below and Leave the Result in Trigonometric