# Practice your tangent sum and difference formula!

Geometry Level 2

If $$\tan A = \frac 1 2$$ and $$\tan B = \frac 1 3$$, find the values of $$\tan(2A+B)$$ and $$\tan (2A- B)$$ respectively.

Details and Assumptions:

• The choices depicts the two values: $$\tan(2A +B)$$ and $$\tan(2A-B)$$ in that order.

Bonus: If we know that only one of the choices given is definitely correct, determine which one of it is correct without manually computing any of the two values in question.

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