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For t=7

substitute in the given function

$\begin{gathered} E=\sin \frac{\pi}{14}7 \\ E=1 \end{gathered}$

For t=14

$\begin{gathered} E=\sin \frac{\pi}{14}14 \\ E=0 \end{gathered}$

For t=21

$\begin{gathered} E=\sin \frac{\pi}{14}21 \\ E=-1 \end{gathered}$

For t=28

$\begin{gathered} E=\sin \frac{\pi}{14}28 \\ E=0 \end{gathered}$

For t=35

$\begin{gathered} E=\sin \frac{\pi}{14}35 \\ E=1 \end{gathered}$

Observation: The values of E varies from -1 to 1, including the zero

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Remember that

The Period goes from one peak to the next

Period=2pi/B

B=pi/14

Period=(2pi)/(pi/14)=2pi*14/pi=28

<h2>the period is 28 days</h2>

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