cos² (6π×6×π/9)
You asked:
Evaluate the expression: \({\cos\left( \frac{6 \cdot \pi \cdot 6 \cdot \pi}{9} \right)}^{2}\)
MathBot Answer:
\[{\cos\left( \frac{6 \cdot \pi \cdot 6 \cdot \pi}{9} \right)}^{2} = \cos^{2}{\left(4 \pi^{2} \right)} \approx 0.04284976576071504620309460309432\]
\[\begin{aligned}{\cos\left( \frac{6 \cdot \pi \cdot 6 \cdot \pi}{9} \right)}^{2}& = \cos^{2}{\left(6 \cdot \pi \cdot 6 \cdot \frac{\pi}{9} \right)}\\& = \cos^{2}{\left(36 \cdot \pi \cdot \frac{\pi}{9} \right)}\\& = \cos^{2}{\left(4 \cdot \pi^{2} \right)}\end{aligned}\]