sin (4pi/3)

asked by guest
on Jan 10, 2025 at 3:34 am



You asked:

Evaluate the expression: \(\sin\left( \frac{4 \pi}{3} \right)\)

MathBot Answer:

\[\sin\left( \frac{4 \pi}{3} \right) = - \frac{\sqrt{3}}{2} \approx -0.86602540378443864676372317075294\]


\[\begin{aligned}\sin\left( \frac{4 \pi}{3} \right)& = \sin{\left(4 \cdot \frac{\pi}{3} \right)}\\& = \sin{\left(\frac{4}{3} \cdot \pi \right)}\\& = - \frac{1}{2} \cdot \sqrt{3}\end{aligned}\]