To evaluate the trigonometric function for secant, we use the definition of secant:

$\sec(\theta) = \frac{1}{\cos(\theta)}$

Given that $\sec(\theta) = \frac{7}{3}$, we can find $\cos(\theta)$ by taking the reciprocal:

$\cos(\theta) = \frac{1}{\sec(\theta)} = \frac{3}{7}$

So, the cosine of $\theta$ is $\frac{3}{7}$.

If you need further details or have any questions, feel free to ask!

Here are 5 related questions you might be interested in:

1. What is the sine of $\theta$ given that $\sec(\theta) = \frac{7}{3}$?
2. How do you find the angle $\theta$ given $\sec(\theta) = \frac{7}{3}$?
3. What is the value of $\tan(\theta)$ given $\sec(\theta) = \frac{7}{3}$?
4. How is the secant function related to the Pythagorean identity?
5. What is the significance of the secant function in trigonometry?

Tip: The secant function is often useful in problems involving right triangles and can be especially handy in solving equations related to circles or oscillatory motion.