Determine the exact value of $\cos ^ { - 1 } \left( \frac { \sqrt { 2 } } { 2 } \right)$.
A) $\frac { \pi } { 2 }$
B) $\frac { \pi } { 4 }$
C) $\frac { \pi } { 3 }$
D) $\frac { \pi } { 6 }$
E) $\frac { 3 \pi } { 4 }$

Question

Quizplus · Accepted Answer

The value of $\cos^{-1}\left(\frac{\sqrt{2}}{2}\right)$ corresponds to the angle whose cosine is $\frac{\sqrt{2}}{2}$, which is $\frac{\pi}{4}$ or 45 degrees.

Determine the Exact Value Of cos⁡−1(22)\cos ^ { - 1 } \left( \frac { \sqrt { 2 } } { 2 } \right)cos−1(22​​)

Determine the Exact Value Of $\cos ^ { - 1 } \left( \frac { \sqrt { 2 } } { 2 } \right)$