Find all solutions to the equation in the interval 0degrees

Find all solutions to the equation in the interval [0degrees, 360degrees). Write your answer in degrees. sin(theta) - cos(theta) = -0.9

sin(theta) - cos(theta) = - 0.9

squaring on both sides

( sin(theta) - cos(theta))^2= (- 0.9)^2

sin(theta)^2 + cos(theta)^2 - 2sin(theta) cos(theta)= 0.81

1 - sin(2theta) = 0.81

sin(2theta) = 1 - 0.81

sin(2theta) = 0.19

2 theta = sin^-1( 0.19)

theta = 10.9527841989 /2, 180 -10.9527841989 /2 degrees

theta =0.19116/2 ,( pi - 0.19116)/2 radians