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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.

Learn how to evaluate the trigonometric function sec 60°, using the reciprocal identity sec θ = 1 / cos θ. This solution provides a detailed breakdown, showing that sec 60° equals 2. Suitable for students in Grades 9-11.

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