# How do you find the exact value of sin((7pi)/6- pi/3)

How do you find the exact value of $\mathrm{sin}\left(\frac{7\pi }{6}-\frac{\pi }{3}\right)$?
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edytorialkp
$\mathrm{sin}\left(\frac{7\pi }{6}-\frac{\pi }{3}\right)$
$=\mathrm{sin}\left(\frac{7\pi }{6}-\frac{2\pi }{6}\right)$
$=\mathrm{sin}\left(\frac{5\pi }{6}\right)$
$=\mathrm{sin}\left(\pi -\frac{\pi }{6}\right)$
$=\mathrm{sin}\left(\frac{\pi }{6}\right)$
$=\frac{1}{2}$