Solve and write the answer in General Form.

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

did you get the answer yet?

step-by-step explanation:

so, converting firstly the mixed fractions to improper fractions and then "adding".