( 3 2 , − 1 2 ) {\displaystyle \left({\frac {3}{2}},-{\frac {\sqrt {1}}{2}}\right)}
sin ( t ) = 1 2 csc ( t ) = − 2 3 ⋅ 3 3 = 2 3 3 cos ( t ) = 3 2 sec ( t ) = 2 1 = 2 tan ( t ) = 1 2 3 2 = 1 2 ⋅ 2 3 = 1 3 ⋅ 3 3 = 3 3 cot ( t ) = − 1 3 = − 1 3 ⋅ 3 3 = 3 3 {\displaystyle {\begin{aligned}\sin {(t)}&={\frac {1}{2}}&\csc {(t)}&=-{\frac {2}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {2{\sqrt {3}}}{3}}\\[2ex]\cos {(t)}&={\frac {\sqrt {3}}{2}}&\sec {(t)}&={\frac {2}{1}}=2\\[2ex]\tan {(t)}&={\frac {\frac {1}{2}}{\frac {\sqrt {3}}{2}}}={\frac {1}{\cancel {2}}}\cdot {\frac {\cancel {2}}{\sqrt {3}}}={\frac {1}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {\sqrt {3}}{3}}&\cot {(t)}&=-{\frac {1}{\sqrt {3}}}=-{\frac {1}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {\sqrt {3}}{3}}\\[2ex]\end{aligned}}}
![{\displaystyle {\begin{aligned}\sin {(t)}&={\frac {1}{2}}&\csc {(t)}&=-{\frac {2}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {2{\sqrt {3}}}{3}}\\[2ex]\cos {(t)}&={\frac {\sqrt {3}}{2}}&\sec {(t)}&={\frac {2}{1}}=2\\[2ex]\tan {(t)}&={\frac {\frac {1}{2}}{\frac {\sqrt {3}}{2}}}={\frac {1}{\cancel {2}}}\cdot {\frac {\cancel {2}}{\sqrt {3}}}={\frac {1}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {\sqrt {3}}{3}}&\cot {(t)}&=-{\frac {1}{\sqrt {3}}}=-{\frac {1}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {\sqrt {3}}{3}}\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/58bc31daf18cdb926798aa2c1e993f7b0afd7a18)