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Given that (cos(5)*cos(55)*cos(65)) / (sin(5)*sin(55)*sin(65)) = a*sqrt(3) + b, where all angles are in degrees, find the value of a + b.

1. -1
2. 2
3. 3
4. 1/3

Correct answer: 2

Solution

After simplification using product formulas, the ratio evaluates to 2*sqrt(3), so a = 2 and b = 0, giving a + b = 2.

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