Students were asked to prove the identity (sec x)(csc x) = cot x + tan...
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Students were asked to prove the identity (sec x)(csc x) = cot x + tan x. Two students' work is given.Student AStep 1:Step 2:cos X sin xStep 5:1cos x sin xStep 4: cosxStep 3: cosx+sincos x sin xcos x sinxCOS Xsinx11:= cot x + tan xcotx + tan xXcot x + tan xsin xcos x sin xsin xCOS X11cotx + tan xStudent BStep 6: cot x + tan x = cot x + tan xStep 1: secxcsc x =Step 2: secxcscx =cotx + tanx Step 4: secxcscx =Step 3: secxcsc x =cos xsin xStep 5: secxcsc x =sinxcos xcosxcosxsin xcosx+sin xcos x sin x1cos x sinxsin xcos xsin x(x)(sinx)Step 6: sec x csc X = sec x csc XPart 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
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