Find the Exact Value Of $\cos ( u + v )$

question 114

Multiple Choice

Find the exact value of $\cos ( u + v )$ given that $\sin u = \frac { 9 } { 41 }$ and $\cos v = - \frac { 15 } { 17 }$ . (Both $u$ and $v$ are in Quadrant II.)

• A) \(\quad \cos ( u + v ) = \frac { 225 } { 697 }\)
• B) \(\quad \cos ( u + v ) = - \frac { 185 } { 697 }\)
• C) \(\quad \cos ( u + v ) = \frac { 528 } { 697 }\)
• D) \(\cos ( u + v ) = - \frac { 519 } { 697 }\)
• E) \(\quad \cos ( u + v ) = \frac { 455 } { 697 }\)

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Definitions:

Random Samples

A sample from a population that is chosen in such a way that every member of the population has an equal chance of being selected.

Standard Error

The standard deviation of the sampling distribution of a statistic, particularly mean, indicating the variability of an estimate from sample to sample.

Positively Skewed

A description of a distribution of data in which the tail on the right side of the histogram is longer than the left side, indicating that most values are clustered on the left.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, used to estimate the population parameter.