6.2 Trigonometric Functions: Unit Circle Approach/49

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle 210 \Rightarrow (\frac{7\pi}{6}) \Rightarrow (\frac{-\sqrt{3}}{2},\frac{-1}{2})}

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://en.wikipedia.org/api/rest_v1/":): {\displaystyle \begin{align} \sin{\left(\frac{7\pi}{6}\right)} &= \frac{-1}{2} & \csc{\left(\frac{7\pi}{6}\right)} &= \frac{{1}} \frac{-1}{2} \cdot{2} = \frac{2}{-1} = -2 \\[2ex] \cos{\left(\frac{7\pi}{6}\right)} &= \frac{-\sqrt{3}}{2} & \sec{\left(\frac{7\pi}{6}\right)} &= \frac{1}{\frac{-\sqrt{3}}{2}} \cdot{2} = \frac{2}{-\sqrt{3}} \cdot{-\sqrt{3}} = \frac{2-\sqrt{3}}{3} \\[2ex] \tan{\left(\frac{7\pi}{6}\right)} &= \frac{\frac{-\sqrt{3}}{2}}{\frac{-1}{2}} \cdot{2} = -\frac{\sqrt{3}}{1} = -\sqrt{3} & \cot{\left(\frac{7\pi}{6}\right)} &= \frac{\frac{-\sqrt{3}}{2}}{\frac{-1}{2}} \cdot{2} = -\frac{\sqrt{3}}{1} \\[2ex] \end{align} }