( 3 2 , 1 2 ) {\displaystyle \left({\frac {\sqrt {3}}{2}},{\frac {1}{2}}\right)}
sin ( t ) = 1 2 csc ( t ) = 1 1 2 = 2 cos ( t ) = 3 2 sec ( t ) = 1 3 2 = 2 3 ⋅ 3 3 = 2 3 3 tan ( t ) = 1 2 3 2 = 1 2 ⋅ 2 3 = 1 3 ⋅ 3 3 = 3 3 cot ( t ) = 3 2 1 2 = 3 2 ⋅ 2 1 = 3 {\displaystyle {\begin{aligned}\sin {(t)}&={\frac {1}{2}}&\csc {(t)}&={\frac {1}{\frac {1}{2}}}=2\\[2ex]\cos {(t)}&={\frac {\sqrt {3}}{2}}&\sec {(t)}&={\frac {1}{\frac {\sqrt {3}}{2}}}={\frac {2}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {2{\sqrt {3}}}{3}}\\[2ex]\tan {(t)}&={\frac {\frac {1}{2}}{\frac {\sqrt {3}}{2}}}={\frac {1}{\cancel {2}}}\cdot {\frac {\cancel {2}}{\sqrt {3}}}={\frac {1}{\cancel {\sqrt {3}}}}\cdot {\frac {\cancel {\sqrt {3}}}{\sqrt {3}}}={\frac {\sqrt {3}}{3}}&\cot {(t)}&={\frac {\frac {\sqrt {3}}{2}}{\frac {1}{2}}}={\frac {\sqrt {3}}{\cancel {2}}}\cdot {\frac {\cancel {2}}{1}}={\sqrt {3}}\\[2ex]\end{aligned}}}
![{\displaystyle {\begin{aligned}\sin {(t)}&={\frac {1}{2}}&\csc {(t)}&={\frac {1}{\frac {1}{2}}}=2\\[2ex]\cos {(t)}&={\frac {\sqrt {3}}{2}}&\sec {(t)}&={\frac {1}{\frac {\sqrt {3}}{2}}}={\frac {2}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {2{\sqrt {3}}}{3}}\\[2ex]\tan {(t)}&={\frac {\frac {1}{2}}{\frac {\sqrt {3}}{2}}}={\frac {1}{\cancel {2}}}\cdot {\frac {\cancel {2}}{\sqrt {3}}}={\frac {1}{\cancel {\sqrt {3}}}}\cdot {\frac {\cancel {\sqrt {3}}}{\sqrt {3}}}={\frac {\sqrt {3}}{3}}&\cot {(t)}&={\frac {\frac {\sqrt {3}}{2}}{\frac {1}{2}}}={\frac {\sqrt {3}}{\cancel {2}}}\cdot {\frac {\cancel {2}}{1}}={\sqrt {3}}\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/dc8da920dac5aab213ee181128bae621b715ef64)