Use the Product-To-Sum Formula to Write the Given Product as a Sum

question 20

Multiple Choice

Use the product-to-sum formula to write the given product as a sum or difference.
$8 \sin \frac { \pi } { 8 } \sin \frac { \pi } { 8 }$

• A) \(4 \sin \frac { \pi } { 16 }\)
• B) \(4 - 4 \cos \frac { \pi } { 4 }\)
• C) \(4 + 4 \cos \frac { \pi } { 16 }\)
• D) \(- 4 \sin \frac { \pi } { 16 }\)
• E) \(4 \sin \frac { \pi } { 8 } + 4 \cos \frac { \pi } { 8 }\)

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Definitions:

Four Pinions

Describes a gear assembly configuration that includes four pinion gears, often found in differential assemblies to evenly distribute torque to the wheels.

Truck Differential

A mechanical device in a truck that allows the outer drive wheel to rotate faster than the inner drive wheel during a turn, improving traction and handling.

Tandem Drive Truck

A truck with two rear axles, both of which are drive axles, providing better traction and load distribution.

Spinout

Occurs when differential action allows one drive wheel on a slippery surface to spin while the other remains stationary and receives no driving torque. On tandem drive trucks, because of the additional differential action between the drive axles, it is possible to turn a spinning wheel at four times its normal speed. This can take out the interaxle differential or carrier differential. Spinout is a driver abuse failure of differential carriers.