(sinx)/(cosx-sinx)=cotx+1

Question

(sinx)/(cosx-sinx)=cotx+1, find x

Answer 1

putting everything into sin(x) & cos(x) form, we get

(sin(x))^2 = (cos(x))^2 - (sin(x))^2 or

2(sin(x))^2 = (cos(x))^2 or

sin(x)/cos(x) = 1/(2^.5) = Tan(x)

x = 35.2644 degrees