Question

Find x.......
2cos^2 x +3sin x = 0​

Answer 1

ANSWER :

ANSWER REFER TO THE ATTACHMENT

Answer 2

2cos^2x+3sinx=0

2cos^2x+3sinx=02(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

now,

sin x - 2=0

or

2 sin x+1=0

sin x =2

or

sin x = -1/2

Hope this will help you