Simplify sec(pi/3)

Problem

sec(π/3)

Solution

1. Identify the relationship between the secant function and the cosine function using the reciprocal identity.

sec(θ)=1/cos(θ)

2. Substitute the given angle π/3 into the identity.

sec(π/3)=1/cos(π/3)

3. Evaluate the cosine of π/3 using the unit circle or special right triangles.

cos(π/3)=1/2

4. Simplify the fraction by calculating the reciprocal.

1/(1/2)=2

Final Answer

sec(π/3)=2

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