6.2 Trigonometric Functions: Unit Circle Approach/17

$\left(-{\frac {\sqrt {2}}{2}},{\frac {\sqrt {2}}{2}}\right)$

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{(t)} &= \frac{\sqrt{2}}{2} & \csc{(t)} &= \frac{1}{\frac{\sqrt{2}}{2}} \cdot{2} = \frac{2}{\sqrt{2}} \cdot{\sqrt{2}} = \frac{2\sqrt{2}}{2} = \sqrt{2} \\[2ex] \cos{(t)} &= -\frac{\sqrt{2}}{2} & \sec{(t)} &= \frac{1}{\frac{-\sqrt{2}}{2}} \cdot{2} = \frac{2}{-\sqrt{2}} \cdot{\sqrt{2}} = -\frac{2\sqrt{2}}{2} = -\sqrt{2} \\[2ex] \tan{(t)} &= \frac{\frac{\sqrt{2}}{2}}{-\frac{\sqrt{2}}{2}} \cdot{2} = -\frac{\sqrt{2}} \sqrt{2} = -1 & \cot{(t)} &= \frac{-\frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}} \cdot{2} = -\frac{\sqrt{2}} \sqrt{2} = -1 \\[2ex] \end{align} }