Write the Complex Number Shown Below in Trigonometric Form $6 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)$

question 42

Multiple Choice

Write the complex number shown below in trigonometric form.

• A) \(6 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right)\)
• B) \(6 \left( \cos \frac { 5 \pi } { 3 } + i \sin \frac { 5 \pi } { 3 } \right)\)
• C) \(6 \left( \cos \frac { 11 \pi } { 6 } + i \sin \frac { 11 \pi } { 6 } \right)\)
• D) \(6 \left( \cos \frac { 4 \pi } { 3 } + i \sin \frac { 4 \pi } { 3 } \right)\)
• E) \(6 \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)\)

---

Definitions:

Human Organs

Parts of the human body that perform vital functions necessary for life, such as the heart, liver, and kidneys, which can sometimes be medically transplanted.

Government Tax

A compulsory financial charge imposed by a government on individuals, businesses, or goods to fund public services and infrastructure.

Supply

A schedule or curve that shows the various amounts of a product that producers are willing and able to make available for sale at each of a series of possible prices during a specified period of time.

Allocative Efficiency

A scenario in resource distribution where improving the situation of any single person is achievable only at the expense of another's wellbeing.