Express the Function as a Sinusoid of the Form Y $$y = 5 \sin ( 5 x ) - 3 \cos ( 5 x )$$

question 172

Multiple Choice

Express the function as a sinusoid of the form y = a sin (bx + c) .
- $$y = 5 \sin ( 5 x ) - 3 \cos ( 5 x )$$

• A) \(y = \sqrt { 34 } \sin \left( 5 x - \sin ^ { - 1 } \left( \frac { 3 } { \sqrt { 34 } } \right) \right\}\)
• B) \(y = \sqrt { 34 } \sin \left( 5 x + \cos ^ { - 1 } \left( \frac { 3 } { \sqrt { 34 } } \right) \right)\)
• C) \(y = \sqrt { 34 } \sin \left( 5 x + \sin ^ { - 1 } \left( \frac { 3 } { \sqrt { 34 } } \right) \right\}\)
• D) \(y = \sqrt { 34 } \sin \left( 5 x - \cos ^ { - 1 } \left( \frac { 3 } { \sqrt { 34 } } \right) \right)\)

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Definitions:

Price Elasticity

A quantitative representation of how quantity demanded or supplied of a product changes in response to a price change, signifying the sensitivity of consumers or producers to price variations.

Marginal Cost

The incremental cost of creating one more unit of a good or service.

Profit-Maximizing

Profit-maximizing refers to the strategy or point where a company achieves the highest possible profit from its operations, after accounting for all costs.

Marginal Revenue Function

A mathematical representation showing how revenue changes as the quantity of goods sold varies.