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Solve the Problem f(θ)=sinθf ( \theta ) = \sin \theta And f(a)=16f ( a ) = - \frac { 1 } { 6 }

question 353

Multiple Choice

Solve the problem.
-If f(θ) =sinθf ( \theta ) = \sin \theta and f(a) =16f ( a ) = - \frac { 1 } { 6 } , find the exact value of f(a) +f(a+2π) +f(a+4π) f ( a ) + f ( a + 2 \pi ) + f ( a + 4 \pi )

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Definitions:

Shakers

A religious sect founded in the 18th century, known for their communal living, celibate lifestyle, and distinctive practices of worship including dancing, which led to their name.

Free Will

Free will is the concept that individuals have the ability to make choices that are not predetermined by biological or external factors, emphasizing human agency and moral responsibility.

Sin

An act considered a transgression against divine law or moral principles, often associated with religious beliefs.

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