sin((-11 π\pi) /12)

asked by guest
on Mar 28, 2025 at 4:36 pm



You asked:

Evaluate the expression: sin((11π)12)\sin\left( \frac{-\left( 11 \pi \right)}{12} \right)

MathBot Answer:

sin((11π)12)=64+240.25881904510252076234889883762405\sin\left( \frac{-\left( 11 \pi \right)}{12} \right) = - \frac{\sqrt{6}}{4} + \frac{\sqrt{2}}{4} \approx -0.25881904510252076234889883762405


sin((11π)12)=sin(11π112)=sin(1112π)=146+142\begin{aligned}\sin\left( \frac{-\left( 11 \pi \right)}{12} \right)&=\sin{\left(- \cdot 11 \cdot \pi \cdot \frac{1}{12} \right)}\\&=\sin{\left(- \frac{11}{12} \cdot \pi \right)}\\&=- \frac{1}{4} \cdot \sqrt{6} + \frac{1}{4} \cdot \sqrt{2}\end{aligned}