[tex][sin(\frac{11\pi}{6}) - tan(\frac{5\pi}{6})][sin(\frac{11\pi}{6}) + tan(\frac{5\pi}{6})][/tex]
[tex][sin(330) - tan(150)][sin(330) + tan(150)][/tex]
[tex][-\frac{1}{2} - (-\frac{\sqrt{3}}{3})][-\frac{1}{2} + (-\frac{\sqrt{3}}{3})][/tex]
[tex][-\frac{1}{2} + \frac{\sqrt{3}}{3}][-\frac{1}{2} - \frac{\sqrt{3}}{3}][/tex]
[tex][-\frac{3}{6} + \frac{2\sqrt{3}}{6}}][-\frac{3}{6} - \frac{2\sqrt{3}}{6}][/tex]
[tex][\frac{-3 + 2\sqrt{3}}{6}][\frac{-3 - 2\sqrt{3}}{6}][/tex]
[tex]\frac{9 - 4\sqrt{9}}{36}[/tex]
[tex]\frac{9 - 4(3)}{36}[/tex]
[tex]\frac{9 - 12}{36}[/tex]
[tex]\frac{-3}{36}[/tex]
[tex]-\frac{1}{12}[/tex]