6.2 Trigonometric Functions: Unit Circle Approach/79

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

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  -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 }

${\begin{aligned}\sin {(\theta )}&=-{\frac {3{\sqrt {13}}}{13}}&\csc {(\theta )}&=-{\frac {\sqrt {13}}{3}}\\[2ex]\cos {(\theta )}&={\frac {2{\sqrt {13}}}{13}}&\sec {(\theta )}&={\frac {\sqrt {13}}{2}}\\[2ex]\tan {(\theta )}&={\frac {-3}{2}}&\cot {(\theta )}&={\frac {-2}{3}}\\[2ex]\end{aligned}}$