CosA -SinA +1/CosA +SinA - 1 = CosecA + CotA
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(cosA-sinA+1)/(cosA+sinA-1) = cosecA+cotA
L. H. S =
Diving by sinA in numerator, we get
(cotA-1+cosecA)/(cotA+1-cosecA)
cotA+cosecA-1 / (cotA-cosecA+1)
cotA+cosecA-(cosec²A-cot²A)/(cotA-cosecA+1)
cotA+cosecA-[(cosecA+cotA)(cosecA-cotA)] / (cotA-cosecA+1)
cosecA+cotA [(1-cosecA +cotA)] /(cotA-cosecA+1)
cosecA+cotA [(1-cosecA+cotA)] /(1-cosecA+cotA)
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