( − 2 2 , 2 2 ) {\displaystyle \left(-{\frac {\sqrt {2}}{2}},{\frac {\sqrt {2}}{2}}\right)}
sin ( t ) = 2 2 csc ( t ) = 1 2 2 ⋅ 2 = 2 2 ⋅ 2 = 2 2 2 = 2 cos ( t ) = − 2 2 sec ( t ) = 1 − 2 2 ⋅ 2 = 2 − 2 ⋅ 2 = − 2 2 2 = − 2 tan ( t ) = 2 2 − 2 2 ⋅ 2 = − 2 2 = − 1 cot ( t ) = − 2 2 2 2 ⋅ 2 = − 2 2 = − 1 {\displaystyle {\begin{aligned}\sin {(t)}&={\frac {\sqrt {2}}{2}}&\csc {(t)}&={\frac {1}{\frac {\sqrt {2}}{2}}}\cdot {2}={\frac {2}{\sqrt {2}}}\cdot {\sqrt {2}}={\frac {2{\sqrt {2}}}{2}}={\sqrt {2}}\\[2ex]\cos {(t)}&=-{\frac {\sqrt {2}}{2}}&\sec {(t)}&={\frac {1}{\frac {-{\sqrt {2}}}{2}}}\cdot {2}={\frac {2}{-{\sqrt {2}}}}\cdot {\sqrt {2}}=-{\frac {2{\sqrt {2}}}{2}}=-{\sqrt {2}}\\[2ex]\tan {(t)}&={\frac {\frac {\sqrt {2}}{2}}{-{\frac {\sqrt {2}}{2}}}}\cdot {2}=-{\frac {\sqrt {2}}{\sqrt {2}}}=-1&\cot {(t)}&={\frac {-{\frac {\sqrt {2}}{2}}}{\frac {\sqrt {2}}{2}}}\cdot {2}=-{\frac {\sqrt {2}}{\sqrt {2}}}=-1\\[2ex]\end{aligned}}}
![{\displaystyle {\begin{aligned}\sin {(t)}&={\frac {\sqrt {2}}{2}}&\csc {(t)}&={\frac {1}{\frac {\sqrt {2}}{2}}}\cdot {2}={\frac {2}{\sqrt {2}}}\cdot {\sqrt {2}}={\frac {2{\sqrt {2}}}{2}}={\sqrt {2}}\\[2ex]\cos {(t)}&=-{\frac {\sqrt {2}}{2}}&\sec {(t)}&={\frac {1}{\frac {-{\sqrt {2}}}{2}}}\cdot {2}={\frac {2}{-{\sqrt {2}}}}\cdot {\sqrt {2}}=-{\frac {2{\sqrt {2}}}{2}}=-{\sqrt {2}}\\[2ex]\tan {(t)}&={\frac {\frac {\sqrt {2}}{2}}{-{\frac {\sqrt {2}}{2}}}}\cdot {2}=-{\frac {\sqrt {2}}{\sqrt {2}}}=-1&\cot {(t)}&={\frac {-{\frac {\sqrt {2}}{2}}}{\frac {\sqrt {2}}{2}}}\cdot {2}=-{\frac {\sqrt {2}}{\sqrt {2}}}=-1\\[2ex]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/afd5792ff0c2342cfa54d9f09ea3431fa65ce0c8)