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Use the sketch of the unit circle to check the following trigonometric properties:

half revolution

$\left.\begin{array}{l} \cos (\theta+\pi)=-\cos \theta \\ \sin (\theta+\pi)=-\sin \theta \end{array}\right\}$

same point

$\left.\begin{array}{l} \cos (\theta+2 \pi)=\cos \theta \\ \sin (\theta+2 \pi)=\sin \theta \end{array}\right\}$

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