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

question 354

Multiple Choice

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

• A) \(- \frac { 1 } { 2 }\)
• B) \(- \frac { 1 } { 2 } + 6 \pi\)
• C) \(- \frac { 1 } { 6 }\)
• D) \(\frac { 3 } { 2 }\)

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