Given: Cosine (x minus y) Equals sine left-brace StartFraction pi Over 2 EndFraction minus (x minus y) right-brace Equals sine left-brace StartFraction pi Over 2 EndFraction minus x + y right-brace Equals sine left-brace (StartFraction pi Over 2 EndFraction minus x) + y right-brace Equals sine left-brace (StartFraction pi Over 2 EndFraction minus x) minus (negative y) right-brace Equals sine (StartFraction pi Over x EndFraction minus x) cosine (negative y) minus cosine (StartFraction pi Over 2 EndFraction minus x) sine (negative y) Equals cosine (x) cosine (negative y) minus sine (x) sine (negative y) Equals cosine (X) cosine (y) + sine (x) sine (y) Choose a justification for each step in the derivation of the sine difference identity. Step 1: Step 2: Distributive property Step 3: Associative property Step 4: Factoring out –1 Step 5: Step 6: Step 7: