can A-sin A +1/cos a+sin a-1
= cosec A + cot A, using the identity cosec square A= 1 + cot square a
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cosA-sinA+1/cosA+sinA+1
=cotA-1+cosecA/cotA +1-cosecA
=(cosecA+cotA)-1/cotA- cosecA+1
=(cosecA+cotA)-(cosec²A-cot²A)/cotA-cosecA+1
=(cosecA+cotA)(1-cosecA+cotA)/1-cosecA+cotA
=cosecA+cotA
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