Express the Function as a Sinusoid of the Form Y $$y = 7 \sin x + 5 \cos x$$

question 68

Multiple Choice

Express the function as a sinusoid of the form y = a sin (bx + c) .
- $$y = 7 \sin x + 5 \cos x$$

• A) \(y = 74 \sin \left( x + \sin - 1 \left( \frac { 5 } { \sqrt { 74 } } \right) \right)\)
• B) \(y = \sqrt { 74 } \sin \left( x + \sin - 1 \left( \frac { 5 } { \sqrt { 74 } } \right) \right)\)
• C) \(y = 12 \sin ( 7 x + 5 )\)
• D) \(y = \sqrt { 74 } \sin \left( x + \cos - 1 \left( \frac { 5 } { \sqrt { 74 } } \right) \right\}\)

---

Definitions:

Standard Deviation

A measure of the dispersion or variability of a set of data points in relation to its mean, indicating how spread out the data points are.

Sample Mean

The average value of a sample set of numbers, calculated as the sum of all the values divided by the number of values.

Sampling Distribution

The distribution of probabilities for a particular statistic based on a random sample, which is used to infer characteristics of the population.

Miles Per Gallon

A measure of fuel efficiency in vehicles, indicating the distance in miles a vehicle can travel per gallon of fuel consumed.