Problemas
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
Roztwór
Mario
élite · Tutor durante 8 años
4.2
(340 Votos)
Respuesta
B. The expression is undefined.
Explicación
## Step 1The 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 \(sec(x) = \frac{1}{cos(x)}\).## Step 2The cosine function, \(cos(x)\), is undefined at
. This is because the cosine function represents the x-coordinate of a point on the unit circle, and at
, the point is at the leftmost part of the circle, where the x-coordinate is -1.## Step 3Since the cosine function is undefined at
, the secant function, being the reciprocal of the cosine function, is also undefined at
.