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$$\sin\left(\dfrac{13\pi}{6}\right)\ =?$$
We know the property that $$\sin\left(2\pi+\theta\ \right)=\sin\theta\ $$
Similarly, $$\sin\left(\dfrac{13\pi}{6}\right)=\sin\left(2\pi+\dfrac{\pi}{6}\right)=\sin\left(\dfrac{\pi}{6}\right)$$
Which is equal to 1/2 or 0.5.
Option A is the correct answer.
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