Inicio
/
Matemáticas
/
Evaluate the Following Without a Calculator. Sec (x) Select the Correct Choice Below And, If Necessary,fill in the Answer Box to

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
Weryfikacja ekspertów
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 .