( 1+ TanA + SecA)( 1+ CotA - CosecA)
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Step-by-step explanation:
(1 + TanA + SecA)(1 + CotA - CosecA)
=> (1 + SinA/CosA + 1/CosA)( 1 + CosA/SinA - 1/SinA)
=> (CosA + SinA + 1/CosA)(SinA + CosA - 1 / SinA)
=> [(CosA+SinA) + 1 / CosA][(CosA + SinA) - 1 / SinA]
=> (CosA + SinA)² - 1 / SinACosA
=> Cos²A + Sin²A + 2SinACosA - 1 / SinACosA
=> 1 + 2SinACosA - 1 / SinACosA
=> 2SinACosA/SinACosA
=> 2.
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