Find all solutions of the equation 3 sin 2 x − 7 sin x + 2 = 0 in the interval [ 0 , 2 π ) . The answer is x 1 = ? and x 2 = ? with x 1 < x 2 .

Answer 1

3sin^2x-7sinx+2=0

(3sinx-1)(sinx-2)=0

3sinx=1 sin x= 1/3 x=.34 radians and 2.8 radians

sinx=2. No solution