To evaluate $\sec 60^\circ$:

The secant function, $\sec \theta$, is defined as the reciprocal of the cosine function:

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

So,

$\sec 60^\circ = \frac{1}{\cos 60^\circ}$

Since $\cos 60^\circ = \frac{1}{2}$,

$\sec 60^\circ = \frac{1}{\frac{1}{2}} = 2$

Answer: $\sec 60^\circ = 2$

Would you like a detailed explanation of trigonometric identities or have any further questions?

Here are some related questions for deeper understanding:

1. What is the value of $\sec 45^\circ$?
2. How is the secant function related to the unit circle?
3. What is the value of $\csc 60^\circ$?
4. How can we find the value of $\sec 30^\circ$?
5. How does the secant function behave as angles approach 90°?

Tip: Remember that secant and cosine functions are reciprocals, which can simplify solving trigonometric equations.