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 function is the reciprocal of the cosine function. The value of $\sec^{-1}(\sqrt{2})$ corresponds to the angle whose secant (or reciprocal of cosine) is $\sqrt{2}$. This is the angle whose cosine is $1/\sqrt{2}$, which is $\pi/4$ or 45 degrees.

Find the Exact Value of the Expression sec⁡−1(2)\sec ^ { - 1 } ( \sqrt { 2 } )sec−1(2​)

Find the Exact Value of the Expression $\sec ^ { - 1 } ( \sqrt { 2 } )$