Answer:
x = 8 pi/3 + 4 pi n x = 10 pi /3 + 4 pi n where n is an integer
Step-by-step explanation:
2 sin ( x/2) + sqrt(3) = 0
Subtract sqrt(3) from each side
2 sin ( x/2) = - sqrt(3)
Divide by 2
sin (x/2) = - sqrt(3) /2
Take the inverse sin of each side
sin ^1- sin (x/2) = sin ^-1 ( - sqrt(3) /2)
x/2 = 4pi /3 + 2 pi n x/2 = 5pi /3 + 2pi n where n is an integer
Multiply each side by 2
x = 8 pi/3 + 4 pi n x = 10 pi /3 + 4 pi n where n is an integer
