6.2 Trigonometric Functions: Unit Circle Approach/79

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

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle -3^{2}+4^{2}=5^{2}}

$9+16=25$

Failed to parse (Conversion error. Server ("https://en.wikipedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle {\sqrt {25}}=5=r}

${\begin{aligned}\sin {(\theta )}&={\frac {4}{5}}&\csc {(\theta )}&={\frac {5}{4}}\\[2ex]\cos {(\theta )}&={\frac {-3}{5}}&\sec {(\theta )}&={\frac {5}{-3}}\\[2ex]\tan {(\theta )}&={\frac {-3}{2}}&\cot {(\theta )}&={\frac {-3}{4}}\\[2ex]\end{aligned}}$