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Evaluate the product (1 - tan(A) + sec(A)) * (1 - cot(A) + cosec(A)).

1. 0
2. 1
3. 2
4. 3

Correct answer: 2

Solution

After converting to sin and cos, the product of the two numerators simplifies using algebraic identities to 2*sin(A)*cos(A), which when divided by sin(A)*cos(A) gives 2.

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