Evaluate sec(pi/3)^2

Problem

sec(π/3)

Solution

1. Identify the trigonometric identity for secant, which is the reciprocal of the cosine function.

sec(x)=1/cos(x)

2. Evaluate the cosine of the given angle π/3 (which is 60.

cos(π/3)=1/2

3. Substitute this value into the secant expression to find sec(π/3)

sec(π/3)=1/(1/2)=2

4. Square the result to find the final value of the expression.

2=4

Final Answer

sec(π/3)=4

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