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) $\quad 2 ( \cos 3.91 + i \sin 3.91 )$

Question

Quizplus · Accepted Answer

This operation can be simplified using the division property of complex numbers in polar form, which states that to divide two complex numbers, you divide their magnitudes and subtract their angles. The magnitude of the numerator is 8, and the magnitude of the denominator is 4, so their quotient is 2. The angle of the numerator is 2.3, and the angle of the denominator is 1.7, so their difference is 0.6. Therefore, the result is $2 ( \cos 0.6 + i \sin 0.6 )$.

Perform the Operation Shown Below and Leave the Result in Trigonometric