Find all solutions for the equation Give exact solutions whe

Find all solutions for the equation. Give exact solutions when possible. Use your calculator if necessary rounding to 3 decimal places.

2cos²x +sinx =1

since sin²x +cos²x =1 , we have cos²x =1-sin²x

2(1-sin²x ) +sinx =1

1-2sin²x +sinx =0

2sin²x -sinx -1=0

2sin²x -2sinx +sinx -1=0

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

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

sinx =1 ,sinx =-1/2

sinx =1 =>x =2n(pi) +(pi/2)

sinx =-1/2 => x=2n(pi) -(5pi/6) ,x=2n(pi) -(pi/6) whre n is an integer