CH6 Please correct my answer Solve the equation for x if 0 l

CH6 Please correct my answer...

Solve the equation for x if 0 lessthanorequalto x

2sinx - 3cotx -3cscx =0

2sinx - 3cosx/sinx - 3/sinx =0

(2sinx^2x - 3cosx - 3)/sinx =0

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

2(1-cos^2x) - 3cosx -3 =0

-2cos^2x - 3cosx -1 =0

- 2cos^2x - 2cosx-cosx -1 =0

-2cosx( cosx +1) -1(cosx+1) =0

(-1 -2cosx)(1+cosx) =0

cosx = -1 ; x= pi

cosx = -1/2 ; x= pi-pi/3 , pi +pi/3 = 2pi/3 , 4pi/3

solution : x= 2pi/3 , pi , 4pi/3

May be exaxt value means decimal values : x = 3.14 , 9.42 , 4.19