Find all solutions of the equation in the interval [0, 2?). (If there is no solution, enter NO SOLUTION.) 12 sin2x + 18 sin x + 6 = 0x=(smallest value)x=x= (largest value) Solution there are two possible solution(by solving quadratic , sin(x)= -1 or -0.5. in (0, 2 *pi). sin(x)= -1 at x= 1.5*pi and sin(x)= -.5 at x= pi + pi/6 and at x = 2*pi - pi/6. Done three solutions..

1. Find all solutions of the equation in the interval
[0, 2?).
(If there is no solution, enter NO SOLUTION.)
12 sin2x + 18 sin x + 6 = 0x=(smallest value)x=x= (largest value)
Solution
there are two possible solution(by solving quadratic , sin(x)= -1 or -0.5. in (0, 2 *pi). sin(x)= -1
at x= 1.5*pi and sin(x)= -.5 at x= pi + pi/6 and at x = 2*pi - pi/6.
Done three solutions.