Use the Quadratic Formula to solve the equation in the inter

Use the Quadratic Formula to solve the equation in the interval [0, 2). Then use a graphing utility to approximate the angle x. (Enter your answers as a comma-separated list. Round each answer to four decimal places.) 12 sin2 x 13 sin x + 3 = 0

Solution

12 sin^2 x 13 sin x + 3 = 0

12sin^2x -9sinx -4sinx +3 =0

3sinx(4sinx -3) -1(4sinx -3) =0

(3sinx -1)(4sinx-3)=0

so (3sinx -1) = 0 or (4sinx-3)=0

sinx = 1/3 or sinx= 3/4

x = 19.5 degree, 160.5 degree and 48.6 degree , 131.4 degree