Evaluate sec(pi/2)^2

Problem

sec(π/2)

Solution

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

sec(x)=1/cos(x)

2. Evaluate the cosine function at the given angle.

cos(π/2)=0

3. Determine the value of the secant function at this angle.

sec(π/2)=1/0

4. Conclude that since the denominator is zero, the expression is undefined.

Final Answer

sec(π/2)=Undefined

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