Determine the exact value, if it exists, of $\sec ( - \pi )$.
A) $- \frac { \sqrt { 3 } } { 2 }$
B) $- 1$
C) $\frac { \sqrt { 3 } } { 2 }$
D) 1
E) The value does not exist.

Question

Quizplus · Accepted Answer

The secant function is the reciprocal of the cosine function. $\sec(-\pi) = \frac{1}{\cos(-\pi)}$. Since $\cos(-\pi) = -1$, $\sec(-\pi) = \frac{1}{-1} = -1$.

Determine the Exact Value, If It Exists, Of sec⁡(−π)\sec ( - \pi )sec(−π)

Determine the Exact Value, If It Exists, Of $\sec ( - \pi )$