(1-tanA+ secA )(1- cosA- cosecA)
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= (1+sinA/cosA+1/cosA)(1+cosA/sinA-1/sinA)
= (cosA+sinA+1/cosA)(sinA+cosA-1/sinA)
= [(cosA+sinA)^2-1/cosAsinA]
= (cos^2A+sin^2A+2cosAsinA-1/cosAsinA)
= (1+2cosAsinA-1/cosAsinA)
= (2cosAsinA/sinAcosA)
= 2
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