sin( $\frac{\:19pi}{\:3}$)
You asked:
Evaluate the expression: \(\sin\left( \frac{19 \pi}{3} \right)\)
MathBot Answer:
\[\sin\left( \frac{19 \pi}{3} \right) = \frac{\sqrt{3}}{2} \approx 0.86602540378443864676372317075294\]
\[\begin{aligned}\sin\left( \frac{19 \pi}{3} \right)& = \sin{\left(19 \cdot \frac{\pi}{3} \right)}\\& = \sin{\left(\frac{19}{3} \cdot \pi \right)}\\& = \frac{1}{2} \cdot \sqrt{3}\end{aligned}\]