(1 + tan A + sec A) (1 + cot A - cosec A) = ?
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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][(SinA+cosA+1)/cosA
= [(SinA+cosA)²-1]/SinA cosA
=( sin²A+cos²Α+2cosA SinA-1)/sinAcosA
=( 1+2sinAcosA-1)/sinAcosA
=2
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