Students were asked to prove the identity (sec x)(csc x) = cot x + tan x. Two students' work is given. Student A Student B Step 1: COS X sin x H cot x + tan x Step 1: secxcscx= COS X sin x sin x cos x Step 2: cot x + tanx Step 2: Cos x sin x cos x sin x secxcsc x = cos x sin x cos xsin x Step 3: cosx+sin x cot x + tanx Step 3: cos x + sin x cos x sin x secxcscx cos x sin x Step 4: sin2 x =cotx+tanx Step 4: secxcscx= cos xsin x cos xsin x cos x sin x Step 5: COS X sin x sin x COS X cotx + tan x Step 6: cot x + tan x = cot x + tan x 1 Step 5: secxcscx = (x)(sinx) COS X Step 6: sec x csc x = sec x csc 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 poin