I just want to verify if I did this currectly

2. Prove the identity: Statement cos(x-y)-cos(x+y) cos(x) cos(y)+sin(x)sin(y)-{cos(x)cos(y)-sin(x)sin(y)} cos(x+y) = cos(x)cos(y)-sin(x)sin(y), cos(x-y) = cos(x)cos(y)+sin(x)sin(y) cos (xy) - cos (x+y) = 2 sinx siny cos(x)cos(y)+sin(x)sin(y)-cos(x)cos(y)+sin(x)sin(y), sin(x)sin(y)+sin(x)sin(y) 2sin(x)sin(y) Rule Sum and Difference formula Trigonometric Function Sum and Difference Formula Algebra Algebra Quotient Identity