Sin (13π/6) = ?
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Correct Answer: Option A
Explanation:
To find \(\sin\left(\frac{13\pi}{6}\right)\), we first simplify the angle by finding its equivalent angle in the standard range \([0, 2\pi)\).
\[
\frac{13\pi}{6} - 2\pi = \frac{13\pi}{6} - \frac{12\pi}{6} = \frac{\pi}{6}
\]
So:
\[
\sin\left(\frac{13\pi}{6}\right) = \sin\left(\frac{\pi}{6}\right)
\]
We know:
\[
\sin\left(\frac{\pi}{6}\right) = \frac{1}{2}
\]
Thus:
A. \(\frac{1}{2}\)
To find \(\sin\left(\frac{13\pi}{6}\right)\), we first simplify the angle by finding its equivalent angle in the standard range \([0, 2\pi)\).
\[
\frac{13\pi}{6} - 2\pi = \frac{13\pi}{6} - \frac{12\pi}{6} = \frac{\pi}{6}
\]
So:
\[
\sin\left(\frac{13\pi}{6}\right) = \sin\left(\frac{\pi}{6}\right)
\]
We know:
\[
\sin\left(\frac{\pi}{6}\right) = \frac{1}{2}
\]
Thus:
A. \(\frac{1}{2}\)