Determine the Period and Amplitude Of $y = 3 \cos \left( \frac { x } { 7 } + \frac { \pi } { 4 } \right)$

question 3

Multiple Choice

Determine the period and amplitude of $y = 3 \cos \left( \frac { x } { 7 } + \frac { \pi } { 4 } \right)$

• A) period: \(\frac { 2 \pi } { 7 } ;\) amplitude: 3
• B) period: \(- \frac { 2 \pi } { 7 } ;\) amplitude: \(- 3\)
• C) period: \(\frac { \pi } { 7 }\); amplitude: 3
• D) period: \(7 \pi\); amplitude: 6
• E) period: \(14 \pi\); amplitude: 3

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Definitions:

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The sector of the economy concerned with the production, processing, and distribution of cotton, a key material in the textile industry.

Eli Whitney

An American inventor best known for inventing the cotton gin in 1793, a device that revolutionized the cotton industry by greatly increasing the efficiency of cotton harvesting.

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A term describing actions or laws that go against the principles or explicit provisions of a country's constitution.