We need to find the exact value of $\sin(\frac{3\pi}{4})$.

1. Problem Description

We need to find the exact value of $\sin(\frac{3\pi}{4})$.

2. Solution Steps

First, we need to find the reference angle for $\frac{3\pi}{4}$. Since $\frac{3\pi}{4}$ is in the second quadrant, the reference angle is $\pi - \frac{3\pi}{4} = \frac{\pi}{4}$.

Now, we know that $\sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$.

Since $\frac{3\pi}{4}$ is in the second quadrant, the sine function is positive. Therefore, $\sin(\frac{3\pi}{4}) = \sin(\frac{\pi}{4}) = \frac{\sqrt{2}}{2}$.

To match one of the answer choices, we can rewrite $\frac{\sqrt{2}}{2}$ by rationalizing the denominator of $\frac{1}{\sqrt{2}}$:

$\frac{1}{\sqrt{2}} = \frac{1}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} = \frac{\sqrt{2}}{2}$

Therefore, $\sin(\frac{3\pi}{4}) = \frac{1}{\sqrt{2}}$.

3. Final Answer

$\frac{1}{\sqrt{2}}$