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Evaluate the product tan(pi/4 + theta) * tan(3*pi/4 + theta).

1. -1
2. 1
3. 0
4. tan(2*theta)

Correct answer: -1

Solution

Since tan(3*pi/4 + theta) = -cot(pi/4 + theta), the product becomes tan(x)*(-cot(x)) = -1.

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