Find the product or quotient, as indicated. Leave your answer in polar form.
-Find the quotient.
$$\frac { 9 \left( \cos 125 ^ { \circ } + i \sin 125 ^ { \circ } \right) } { 5 \left( \cos 35 ^ { \circ } + i \sin 35 ^ { \circ } \right) }$$
A) $\frac { 9 } { 5 } \left( \cos 90 ^ { \circ } + i \sin 90 ^ { \circ } \right)$
B) $4 \left( \cos \frac { 25 } { 7 } \circ + i \sin \frac { 25 } { 7 } \circ \right)$
C) $4 \left( \cos 90 ^ { \circ } + \mathrm { i } \sin 90 ^ { \circ } \right)$
D) $\frac { 9 } { 5 } \left( \cos \frac { 25 } { 7 } \circ + \mathrm { i } \sin \frac { 25 } { 7 } \circ \right)$

Question

Quizplus · Accepted Answer

The quotient in polar form is obtained by dividing the magnitudes and subtracting the angles. The magnitude of the quotient is $9/5$, and the angle is $125^\circ - 35^\circ = 90^\circ$.

Find the Product or Quotient, as Indicated 9(cos⁡125∘+isin⁡125∘)5(cos⁡35∘+isin⁡35∘)\frac { 9 \left( \cos 125 ^ { \circ } + i \sin 125 ^ { \circ } \right) } { 5 \left( \cos 35 ^ { \circ } + i \sin 35 ^ { \circ } \right) }5(cos35∘+isin35∘)9(cos125∘+isin125∘)​

Find the Product or Quotient, as Indicated $\frac { 9 \left( \cos 125 ^ { \circ } + i \sin 125 ^ { \circ } \right) } { 5 \left( \cos 35 ^ { \circ } + i \sin 35 ^ { \circ } \right) }$