Calculus (3rd Edition)

$\sin{\theta} =-\dfrac{1}{2}$ $\cos{\theta} =\dfrac{\sqrt{3}}{2}$ $\tan{\theta}=-\dfrac{\sqrt{3}}{3}$ $\csc{\theta} =-2$ $\sec{\theta} = \dfrac{2\sqrt{3}}{3}$ $\cot{\theta} =-\sqrt{3}$
From figure 22, the coordinates of $\dfrac{11\pi}{6}$ on the unit circle are $\left(\dfrac{\sqrt{3}}{2},-\dfrac{1}{2}\right)$ $\cos{\theta} = \text{x-coordinate } = \dfrac{\sqrt{3}}{2}$ $\sin{\theta} = \text{y-coordinate } = -\dfrac{1}{2}$ $\tan{\theta}= \dfrac{\sin{\theta}}{\cos{\theta}} = -\dfrac{\sqrt{3}}{3}$ $\csc{\theta} = \dfrac{1}{\sin{\theta}} = -2$ $\sec{\theta} = \dfrac{1}{\cos{\theta}} = \dfrac{2\sqrt{3}}{3}$ $\cot{\theta} =\dfrac{1}{\tan{\theta}} = -\sqrt{3}$