Question

solve this equation.....​

Answer 1

2cos^2x+3sinx=0

2(1-sin^2x)+3sinx=0

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

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

2sin^2x -4sinx+sinx-2=0

2sin x(sin x-2)+1(sinx-2)=0

(sin x -2)(2sin x+1)=0

sin x - 2=0 or 2 sin x+1=0

sin x =2 or sin x = -1/2