Evaluate sec(pi/3)

Problem

sec(π/3)

Solution

1. Identify the definition of the secant function in terms of the cosine function.

sec(θ)=1/cos(θ)

2. Substitute the given angle into the identity.

sec(π/3)=1/cos(π/3)

3. Evaluate the cosine of the angle using the unit circle or special triangles, where cos(π/3)=1/2

sec(π/3)=1/1/2

4. Simplify the complex fraction by multiplying by the reciprocal.

sec(π/3)=2

Final Answer

sec(π/3)=2

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