Evaluate the following without a calculator. sec (x) Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. sec(pi )=square (Simplify your answer.) B. The expression is undefined

## Step 1<br />The problem asks us to evaluate the expression \(sec(x)\) without a calculator. The secant function, denoted as \(sec(x)\), is the reciprocal of the cosine function. This means that \(sec(x) = \frac{1}{cos(x)}\).<br /><br />## Step 2<br />The cosine function, \(cos(x)\), is undefined at \(x = \pi\). This is because the cosine function represents the x-coordinate of a point on the unit circle, and at \(x = \pi\), the point is at the leftmost part of the circle, where the x-coordinate is -1.<br /><br />## Step 3<br />Since the cosine function is undefined at \(x = \pi\), the secant function, being the reciprocal of the cosine function, is also undefined at \(x = \pi\).