Write the Complex Number in Trigonometric Form $z = \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)$

question 7

Multiple Choice

Write the complex number in trigonometric form.​ ​

• A) \(z = \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)\)
• B)​ \(Z = 6 ( \cos \pi + i \sin \pi )\)
• C)​ \(Z = 6 \left( \cos \frac { \pi } { 2 } - i \sin \frac { \pi } { 2 } \right)\)
• D)​ \(Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)\)
• E)​ \(Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)\)

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Definitions:

Null Hypothesis

The default position that there is no association between two measured phenomena, or no difference among groups being compared.

P-Value

The probability of observing test results at least as extreme as the results actually observed, under the assumption that the null hypothesis is true.

Critical Value

A threshold in hypothesis testing that defines the boundary or cutoff point at which the test statistic is considered significant.

Null Hypothesis

A hypothesis that suggests there is no statistical significance between the two specified populations or sets of data.