Question

Solve the equation 2sin(x) + 1= 0

Answer 1

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:

$x=-\frac{\pi }{6} + 2k\pi\\x= \pi - (-\frac{\pi}{6} )+ 2k\pi= \frac{7\pi}{6} +2k\pi$

Hope it useful for you.