6.2 Trigonometric Functions: Unit Circle Approach/13

$\left({\frac {\sqrt {3}}{2}},{\frac {1}{2}}\right)$

${\begin{aligned}\sin {(t)}&={\frac {1}{2}}&\csc {(t)}&={\frac {1}{\frac {1}{2}}}=2\\[2ex]\cos {(t)}&={\frac {\sqrt {3}}{2}}&\sec {(t)}&={\frac {1}{\frac {\sqrt {3}}{2}}}={\frac {2}{\sqrt {3}}}\cdot {\frac {\sqrt {3}}{\sqrt {3}}}={\frac {2{\sqrt {3}}}{3}}\\[2ex]\tan {(t)}&={\frac {\frac {1}{2}}{\frac {\sqrt {3}}{2}}}={\frac {1}{\cancel {2}}}\cdot {\frac {\cancel {2}}{\sqrt {3}}}={\frac {1}{\cancel {\sqrt {3}}}}\cdot {\frac {\cancel {\sqrt {3}}}{\sqrt {3}}}={\frac {\sqrt {3}}{3}}&\cot {(t)}&={\frac {\frac {\sqrt {3}}{2}}{\frac {1}{2}}}={\frac {\sqrt {3}}{\cancel {2}}}\cdot {\frac {\cancel {2}}{1}}={\sqrt {3}}\\[2ex]\end{aligned}}$