Find Quotients of Complex Numbers in Polar Form
- A) $\frac { \sqrt { 2 } } { 2 } \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$

question 77

Multiple Choice

Find Quotients of Complex Numbers in Polar Form
- $$\left. \begin{array} { l } \mathrm { z } _ { 1 } = \sqrt { 3 } \left( \cos \frac { 7 \pi } { 4 } + i \sin \frac { 7 \pi } { 4 } \right) \\\mathrm { z } _ { 2 } = \sqrt { 6 } \left( \cos \frac { 9 \pi } { 4 } + i \sin \frac { 9 \pi } { 4 } \right.\end{array} \right\}$$

• A) \(\frac { \sqrt { 2 } } { 2 } \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)\)
• B) \(\frac { \sqrt { 2 } } { 2 } \left( \cos \frac { 3 \pi } { 2 } - \mathrm { i } \sin \frac { 3 \pi } { 2 } \right)\)
• C) \(\frac { \sqrt { 2 } } { 2 } \left( \sin \frac { 3 \pi } { 2 } + i \cos \frac { 3 \pi } { 2 } \right)\)
• D) \(\frac { \sqrt { 2 } } { 2 } \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)

---

Definitions:

Anxious

Experiencing worry, unease, or nervousness, often about an imminent event or something with an uncertain outcome.

Nonassertiveness

A behavioral characteristic where an individual may struggle to express their own preferences, desires, or needs effectively.

Assertiveness

The quality of being self-assured and confident without being aggressive, in communicating one's views, needs, and boundaries.

Genuineness

A quality of being authentic, sincere, and honest in one's interactions and relationships with others.