# Meliton's trigonometric expression

Algebra Level 2

The value of $$\log_3 \frac{1+\tan(15^\circ)}{1-\tan(15^\circ)}$$ can be expressed as $$\frac{a}{b}$$, where $$a$$ and $$b$$ are coprime positive integers. What is the value of $$a+b$$?

This problem is posed by Meliton C.

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