Evaluate each expression.
$\(\sec\[\left\)(\(\frac{\pi}{3}\]\right\))$

• A. $\(\frac\)12$
• B. $2$
• C. $\(\frac{\sqrt3}{2}\)$
• D. $\(\frac{2\sqrt3}{2}\)$

Answer: (B)

Verified step by step guidance

1. Understand that secant, sec(θ), is the reciprocal of cosine, so sec(θ) = 1/cos(θ).
2. Identify the angle given in the problem: θ = π/3.
3. Recall the value of cos(π/3). From the unit circle, cos(π/3) = 1/2.
4. Use the reciprocal relationship: sec(π/3) = 1/cos(π/3) = 1/(1/2).
5. Simplify the expression: 1/(1/2) = 2.