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

question 104

Multiple Choice

Use the product-to-sum formula to write the given product as a sum or difference.
$$6 \sin \frac { \pi } { 8 } \cos \frac { \pi } { 8 }$$

• A) \(3 \sin \frac { \pi } { 8 } + 3 \cos \frac { \pi } { 8 }\)
• B) \(3 \sin \frac { \pi } { 4 }\)
• C) \(3 + 3 \cos \frac { \pi } { 16 }\)
• D) \(3 - 3 \cos \frac { \pi } { 16 }\)
• E) \(- 3 \sin \frac { \pi } { 16 }\)

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Definitions:

CAM Plants

Plants using Crassulacean Acid Metabolism, a photosynthetic pathway that conserves water by opening stomata at night.

Calvin-Benson Cycle

A series of biochemical redox reactions taking place in the stroma of chloroplasts in photosynthetic organisms, crucial in fixing carbon from CO2 into organic compounds.

Autotrophs

Organisms that produce their own food from inorganic substances using light or chemical energy, with plants being the most common examples.

Environment

The surrounding conditions and factors that affect living organisms and ecosystems, including both natural and man-made elements.