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Step-by-step explanation:
(1+sinA/cosecA-cotA)-(1-sinA/cosecA+cotA)
=sinA(1+sinA)/1-cosA - sinA(1-sinA)/1+cosA
=sinA[(1+sinA)(1+cosA)-(1-sinA)(1-cosA)/1-cos²A]
=[1+cosA+sinA+sinAcosA-1+cosA+sinA-sinAcosA/sinA]
=[2sinA+2cosA/sinA]
=2(sinA+cosA)/sinA
=2(sinA/sinA+cosA/sinA)
=2(1+cotA)
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