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Simplify sin(2A)/(1 - cos(2A)). Which expression does it equal?

1. cot(A)
2. tan(A)
3. cos(A)
4. sin(A)

Correct answer: cot(A)

Solution

sin(2A)/(1 - cos(2A)) = (2 sinA cosA)/(2 sin²A) = cosA/sinA = cot(A).

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