Prove that the equation is an identity. (sin 0 - cos 0)2 + 2 cos 0 sin 0 = 1 Working from the left-hand side, multiply out the square of the binomial, and then simplify. LHS = (sin 0 - cos 0)2 + 2 cos 0 sin 0 = + 2 cos 0 sin 0 = sin2 0 + Use the trigonometric identity for sin2 0 + cos2 0 and simplify. (sin 0 - cos 0 )2 + 2 cos 0 sin 0 =