Use Identities to Find the Exact Value $\frac { 5 } { \pi }$

question 83

Multiple Choice

Use Identities to find the exact value.
-A weight attached to a spring is pulled down 4 inches below the equilibrium position. Assuming that the frequency of the system is $\frac { 5 } { \pi }$ cycles per second, determine a trigonometric model that gives the position of the weight at time $t$ seconds.

• A) \(\mathrm { s } ( \mathrm { t } ) = 4 \cos 10 \mathrm { t }\)
• B) \(s ( t ) = 4 \cos 5 t\)
• C) \(s ( t ) = - 4 \cos 10 t\)
• D) \(s ( t ) = - 4 \cos 5 \mathrm { t }\)

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