We need to find the value of $\theta$ given the equation $\cos{\theta} = \frac{0}{\sqrt{2} \times 3}$.

1. Problem Description

We need to find the value of $\theta$ given the equation $\cos{\theta} = \frac{0}{\sqrt{2} \times 3}$.

2. Solution Steps

First, simplify the right-hand side of the equation:

$\cos{\theta} = \frac{0}{\sqrt{2} \times 3} = \frac{0}{3\sqrt{2}} = 0$

Now, we need to find the angle $\theta$ such that $\cos{\theta} = 0$.

We know that $\cos(\frac{\pi}{2}) = 0$ and $\cos(\frac{3\pi}{2}) = 0$. In general, $\cos(\theta) = 0$ when $\theta = \frac{(2n+1)\pi}{2}$, where $n$ is an integer.

Typically, we are interested in the values of $\theta$ within the range $[0, 2\pi)$.

So, $\theta = \frac{\pi}{2}$ and $\theta = \frac{3\pi}{2}$ are solutions.

If we want the general solution, then $\theta = \frac{\pi}{2} + n\pi$, where $n$ is an integer.

However, if we are looking for a single value, we can choose the smallest positive value.

3. Final Answer

$\theta = \frac{\pi}{2}$