Question

sin 7pi/6 = ?

Answer 1

\[\sin 7\pi \div6\]

Answer 2

0

Answer 3

\[sin({7π \over 6} )\]=-1/2

Answer 4

\[\sin 7 \pi/6\] has \[\pi/6\] in it, and \[\sin \pi/6 = 1/2.\]
Sin is positive in the 1st and 2nd quadrants, and the angle 7pi over 6 is not in either of them, so the answer will be a negative answer.
Therefore
\[\sin 7 \pi/6\ = -1/2]

Answer 5

\[\sin(\frac{7\pi}{6})=\sin(\frac{6\pi}{6}+\frac{\pi}{6})=\sin(\pi+\frac{\pi}{6})\]
\[=\sin(\pi) \cos(\frac{\pi}{6})+\sin(\frac{\pi}{6})\cos(\pi)=0+\sin(\frac{\pi}{6})(-1)=\frac{1}{2}(-1)=-\frac{1}{2}\]