The value of \( \sec^2(0) \) can be calculated as follows:

\[
\sec^2(0) = \left(\frac{1}{\cos(0)}\right)^2
\]

Since \( \cos(0) = 1 \), we have:

\[
\sec^2(0) = \left(\frac{1}{1}\right)^2 = 1^2 = 1
\]

Thus, \( \sec^2(0) = 1 \).

Would you like more details or have any further questions?

Here are 5 related questions:
1. What is the value of \( \sec(0) \)?
2. How do you find \( \sec^2(x) \) for general angles?
3. What is the derivative of \( \sec^2(x) \)?
4. How is the secant function related to trigonometric identities?
5. What is the domain and range of \( \sec(x) \)?

**Tip**: Remember, \( \sec(x) \) is undefined where \( \cos(x) = 0 \), such as at \( \frac{\pi}{2} \) and \( \frac{3\pi}{2} \).

Discover how to calculate the value of sec^2(0) in trigonometry. This problem involves understanding trigonometric functions and identities. Learn the step-by-step solution to find sec^2(0) using the formula sec^2(x) = (1/cos(x))^2. Suitable for students in Grades 9-12.

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