Students were asked to prove the Identity (cot x)(cos x) = csc x - sin x. Two students' work is given. Student A Student B Step 1: Cos x .cos x = csc x - sinx Step 1: cot x cos x = 1 - sinx sin x sin x Step 2: cos x = cscx -sinx Step 2: cot xcos x = - 1 sin x sin x sin x sinx Step 3: 1- sin x -= cscx -sinx Step 3: cotxcosx = 1-sin x sinx sinx Step 4: 1 sin x = cscx - sinx Step 4: cotxcos x - cos2x sinx sinx sinx Step 5: csc x - sin x = csc x - sin x Step 5: cotx cos x = COS X COS X sin x Step 6: cot x cos x = cot x cos x Part A: Did either student verify the identity properly? Explain why or why not. (10 points) Part B: Name two identities that were used in Student A's verification and the steps they appear in. (5 points)