If f(theta) = sin theta = 0.2 Find f(theta + pi)

Trigonometric Functions
asked 2020-12-28
If \(f(\theta) = \sin \theta = 0.2\)
Find \(f(\theta + \pi)\)

Answers (1)

\(f(\theta)=\sin \theta\) has a period of \(2\pi\) such that consecutive half-period values have the same absolute values but alternate in sign.
Since \(f(\theta+\pi)\) means the value of \(f(\theta)\) after a half-period, then we only take the opposite of its value:
\(f(\theta+\pi)= -0.2\)

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