find the value of x in the equation 2 sin x - 1 = 0 ,where pi/2 < x < pi

the choices are: pi/ 6, pi/3, 5pi/6, 2pi/3

my answer is 2pi/ 3... because it says pi/2 < x < pi because if i translate this to degrees means 90< x < 180. because 2pi/3 is 120 degrees.

does my answer correct? please check my work Mathhelpforum ... because im really sure with my answer

thanks