Evaluate the trig function for secant of theta=7/3

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.

Learn how to evaluate the secant function when sec(theta) = 7/3. Understand the relationship between secant and cosine functions, and find the value of cos(theta) = 3/7. Explore related questions about trigonometric functions and their applications.

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