Choose the one alternative that best completes the statement or answers the question.
Find the exact value of the expression.
-$\sec ^ { - 1 } ( \sqrt { 2 } )$
A) $- \frac { 3 \pi } { 4 }$
B) $\frac { \pi } { 4 }$
C) $\frac { 3 \pi } { 4 }$
D) $\frac { \pi } { 3 }$

Question

Quizplus · Accepted Answer

The secant inverse function $\sec^{-1}(x)$ gives the angle whose secant is $x$. Since $\sec(\frac{\pi}{4}) = \sqrt{2}$, $\sec^{-1}(\sqrt{2}) = \frac{\pi}{4}$.

Choose the One Alternative That Best Completes the Statement or Answers