Find the exact value of the expression.
-$$\cos ^ { - 1 } \left( - \frac { \sqrt { 3 } } { 2 } \right)$$
A) $\frac { 5 \pi } { 6 }$
B) $\frac { \pi } { 3 }$
C) $\frac { \pi } { 6 }$
D) $\frac { 2 \pi } { 3 }$

Question

Quizplus · Accepted Answer

The value of $\cos^{-1}\left(-\frac{\sqrt{3}}{2}\right)$ corresponds to the angle in the unit circle whose cosine value is $-\frac{\sqrt{3}}{2}$. This is the angle in the second quadrant where cosine takes negative values, specifically at $\frac{5\pi}{6}$.

Find the Exact Value of the Expression cos⁡−1(−32)\cos ^ { - 1 } \left( - \frac { \sqrt { 3 } } { 2 } \right)cos−1(−23​​)

Find the Exact Value of the Expression $\cos ^ { - 1 } \left( - \frac { \sqrt { 3 } } { 2 } \right)$