The problem asks to find the value of $\tan(\frac{3\pi}{4})$.

1. Problem Description

The problem asks to find the value of $\tan(\frac{3\pi}{4})$.

2. Solution Steps

We can rewrite $\frac{3\pi}{4}$ as $\pi - \frac{\pi}{4}$.

Therefore,

$\tan(\frac{3\pi}{4}) = \tan(\pi - \frac{\pi}{4})$

We use the identity $\tan(\pi - x) = -\tan(x)$.

So,

$\tan(\pi - \frac{\pi}{4}) = -\tan(\frac{\pi}{4})$

Since $\tan(\frac{\pi}{4}) = 1$, we have

$-\tan(\frac{\pi}{4}) = -1$.

3. Final Answer

-1