Write the Complex Number in Trigonometric Form $Z = 2 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$

question 226

Multiple Choice

Write the complex number in trigonometric form.

• A) \(Z = 2 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)\)
• B) \(Z = 2 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)\)
• C) \(Z = 2 \left( \cos \frac { 7 \pi } { 2 } + i \sin \frac { 7 \pi } { 2 } \right)\)
• D) \(Z = 2 \left( \cos \frac { \pi } { 2 } - i \sin \frac { \pi } { 2 } \right)\)
• E) \(Z = 2 \left( \cos \frac { 3 \pi } { 2 } - i \sin \frac { 3 \pi } { 2 } \right)\)

---

Definitions:

Cooperativeness

A personality trait that reflects an individual's inclination to work together with others towards common goals or objectives.

Assertiveness

The quality of being self-assured and confident without being aggressive, in the expression of one's desires or rights.

Avoiding

A conflict management strategy where individuals ignore or stay away from confrontation.

Problem-Solving

Problem-solving involves identifying, assessing, and resolving issues through logical and creative approaches.