Answer:
Step-by-step explanation:
+ First, we write 2sin(x) = -1 (add -1 for both sides)
Then sin(x) = -1/2 (divide both sides by 2).
+ And we know that -1/2 = sin( -pi/6)
So sin(x) = sin (-pi/6)
that implicite:
[tex]x=-\frac{\pi }{6} + 2k\pi\\x= \pi - (-\frac{\pi}{6} )+ 2k\pi= \frac{7\pi}{6} +2k\pi[/tex]
Hope it useful for you.
