cosA-sinA+1/cosA+sinA-1
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devide by sinA in each term
cotA-1+cosecA/cotA+1-cosecA
=(cotA+cosecA)-(cosec²A-cot²A)/ (cotA-cosecA+1)
=(cotA+cosecA)(1-cosecA+cosA)/ cotA-cosecA+1
=cotA+cosecA
=cosA+1/sinA
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