Use the Conversion Formula $\cos x = \sin \left( \frac { \pi } { 2 } - x \right)$

question 38

Multiple Choice

Use the conversion formula $\cos x = \sin \left( \frac { \pi } { 2 } - x \right)$ to replace the expression $g ( x ) = 25 \cos [ 2 \pi ( 3 x - 1 ) ] + 9$
By a sine function.

• A) \(g ( x ) = 25 \sin \left( 6 \pi x + \frac { 5 \pi } { 2 } \right) - 9 + \frac { \pi } { 2 }\)
• B) \(g ( x ) = 25 \sin \left( 6 \pi x - \frac { 5 \pi } { 2 } \right) + 9\)
• C) \(g ( x ) = 25 \sin \left( - 6 \pi x - \frac { 5 \pi } { 2 } \right) + 9\)
• D) \(g ( x ) = 25 \sin \left( - 6 \pi x + \frac { 5 \pi } { 2 } \right) + 9\)
• E) \(g ( x ) = 25 \sin \left( 12 \pi x + \frac { 3 \pi } { 2 } \right) + 9\)

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Definitions:

Average Variable Costs

The total variable costs divided by the quantity of output produced, measuring the per unit variable cost of production.

Repairs

The process of fixing or restoring something that is broken or damaged to bring it back to a functional or working condition.

Hydraulic Car Smasher

A machine designed to compress and destroy vehicles or large metal objects using hydraulic pressure.

Marginal Cost

The cost incurred by producing one additional unit of a product.