[tex]~~\sin\left( \dfrac{11 \pi}6 \right)\\\\\\=\sin \left( 4\cdot\dfrac{\pi}2 - \dfrac{\pi}6\right)\\\\\\=-\sin\left(\dfrac{\pi}6 \right)~~~~~~~~~;[\text{The angle Lies in 4rth quadrant, so sine ratio is negative.}]\\\\\\=-\dfrac 12[/tex]
Answer:
-0.5.
Step-by-step explanation:
2pi - 11pi/6 = pi/6
so the angle is in the fourth quadrant where the sine is negative.
pi/6 = 30 degrees and we know form the 30-60-90 triangle that sin 30 = 0.5,
therefore sin pi/6 = 0.5
and sin 11pi/6 = -0.5
