\cos^{-1}\left(\frac{8}{5\sqrt{5}}\right)
You asked:
Evaluate the expression: \(\arccos\left( \frac{8}{5 \cdot \sqrt{5}} \right)\)
MathBot Answer:
\[\arccos\left( \frac{8}{5 \cdot \sqrt{5}} \right) = \arccos{\left(\frac{8 \sqrt{5}}{25} \right)} \approx 0.77339701109874749287272091694922\]
\[\begin{aligned}\arccos\left( \frac{8}{5 \cdot \sqrt{5}} \right)& = \arccos{\left(8 \cdot \frac{1}{5 \cdot \sqrt{5}} \right)}\\& = \arccos{\left(\frac{8}{25} \cdot \sqrt{5} \right)}\end{aligned}\]