6.2 Trigonometric Functions: Unit Circle Approach/79

$\theta \rightarrow x=2,\,y=-3,\,r={\sqrt {13}}$

$-3^{2}+4^{2}=5^{2}$

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 9 + 16 = 25 }

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 \sqrt{25} = 5 = r }

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{(\theta)} &= -\frac{3\sqrt{13}}{13} & \csc{(\theta)} &= -\frac{\sqrt{13}}{3}\\[2ex] \cos{(\theta)} &= \frac{-3}{5} & \sec{(\theta)} &= \frac{5}{-3}\\[2ex] \tan{(\theta)} &= \frac{-3}{2} & \cot{(\theta)} &= \frac{-2}{3} \\[2ex] \end{align} }