Answer
$sin(t) =\frac{2\sqrt {6}}{5}$,
$cos(t) =-\frac{1}{5}$,
$tan(t) =-2\sqrt 6$,
$cot(t) =-\frac{\sqrt {6}}{12}$,
$sec(t) =-5$,
$csc(t) =\frac{5\sqrt {6}}{12}$.
Work Step by Step
Given $x=-\frac{1}{5}, y=\frac{2\sqrt {6}}{5}, r=1$, we have:
$sin(t)=y=\frac{2\sqrt {6}}{5}$,
$cos(t)=x=-\frac{1}{5}$,
$tan(t)=\frac{y}{x}=-2\sqrt 6$,
$cot(t)=\frac{x}{y}=-\frac{\sqrt {6}}{12}$,
$sec(t)=\frac{1}{x}=-5$,
$csc(t)=\frac{1}{y}=\frac{5\sqrt {6}}{12}$.
