(1+cotA-cosecA)(1+tanA+secA)=2
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(1+cotA-cosecA)(1+tanA+secA)
=1+tanA+secA+cotA+cotAtanA+cotAsecA-cosecA-cosecAtanA-cosecAsecA
=1+tanA+secA+cotA+1+cosecA-cosecA-secA-cosecAsecA
=2+(sinA/cosA)+(cosA/sinA)-cosecAsecA
=2+(sin²A+cos²A)/sinAcosA-cosecAsecA
=2+1/sinAcosA-cosecAsecA
=2+cosecAsecA-cosecAsecA
=2
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