(1+cotA-cosecA)(1+tanA+secA)
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Step-by-step explanation:
(1+cotA-cosecA)(1+tanA+secA)
=(1+cosA/sinA-1/sinA) (1+sinA/cosA+1/cosA)
=(sinA+cosA-1)/sinA (cosA+sinA+1)/cosA
=(sinA+cosA)²-1/sinAcosA
=2sinAcosA/sinAcosA
=2
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