Discussion
Simplify (2 ⁄ tanA) + (4 ⁄ tanB)
Answer: A
The common denominator is \( \tan A \tan B \).
\[ \frac{2}{\tan A} + \frac{4}{\tan B} = \frac{2\tan B}{\tan A \tan B} + \frac{4\tan A}{\tan A \tan B} \]
\[ = \frac{2\tan B + 4\tan A}{\tan A \tan B} \]
Each numerator picks up the other denominator - swapping them is the error the second option represents.
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