Write the Complex Number in Trigonometric Form $Z = 3 ( \cos \pi - i \cos \pi )$

question 8

Multiple Choice

Write the complex number in trigonometric form.​ ​

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

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Definitions:

Rapid Reaction

The quick response or action taken in response to an event or set of circumstances.

Scatter Plot

A type of graph that illustrates the relationship between two variable quantities, with each pair of points plotted as coordinates on the Cartesian plane.

Time-Series Components

Distinct elements that constitute time-series data, typically including trend, seasonal, cyclical, and irregular components.

Quarterly Time Series

Data collected, distributed, or analyzed at intervals of three months, often used to identify trends over time.