Verify That the Equation Is an Identity $\mathrm { P }$

question 162

Multiple Choice

Verify that the equation is an identity.
-In a particular situation, the pressure, $\mathrm { P }$ , exerted on a person's eardrum at a distance of 6 feet fron the source is given by the function: $\mathrm { P } ( \mathrm { t } ) = \frac { \mathrm { a } } { 6 } \cos ( 2 \mathrm { n } \pi - \mathrm { ct } )$ , where $\mathrm { n }$ is a positive integer. Use the difference identity for cosine to simplify $\mathrm { P }$ in this situation.

• A) \(P ( t ) = \frac { a } { 6 } \cos ( c t ) - \frac { a } { 6 } \sin ( c t )\)
• B) \(P ( t ) = \frac { a } { 6 } \cos ( c t )\)
• C) \(\mathrm { P } ( \mathrm { t } ) = \cos ( \mathrm { ct } )\)
• D) \(\mathrm { P } ( \mathrm { t } ) = \frac { 6 } { 7 } \cos ( \mathrm { ct } + 6 )\)

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Definitions:

Degrees Of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution or test without violating any constraint.

P-Value

It calculates the probability that the observed differences between groups in a study could have happened by chance, used in hypothesis testing.

Right Tailed

A term used in hypothesis testing to describe a test where the critical area, or the area of interest, is located in the right tail of the probability distribution.

Test-Statistic

A value computed from sample data as part of a statistical test, used to determine the significance of the observed data relative to a null hypothesis.