Sketch the graphs of the functions: \[ \theta(x)=\sin \left(\frac{x}{2}-\frac{\pi}{4}\right), 0 ...

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Sketch the graphs of the functions:
\[
\theta(x)=\sin \left(\frac{x}{2}-\frac{\pi}{4}\right), 0 \leq x \leq 4 \pi
\]
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