Answer
$sin(t) =\frac{\sqrt {21}}{5}$,
$cos(t) =-\frac{2}{5}$,
$tan(t) =-\frac{\sqrt {21}}{2}$,
$cot(t) =-\frac{2\sqrt {21}}{21}$,
$sec(t) =-\frac{5}{2}$,
$csc(t) =\frac{5\sqrt {21}}{21}$.
Work Step by Step
Given $x=-\frac{2}{5}, y=\frac{\sqrt {21}}{5}, r=1$, we have:
$sin(t)=y=\frac{\sqrt {21}}{5}$,
$cos(t)=x=-\frac{2}{5}$,
$tan(t)=\frac{y}{x}=-\frac{\sqrt {21}}{2}$,
$cot(t)=\frac{x}{y}=-\frac{2\sqrt {21}}{21}$,
$sec(t)=\frac{1}{x}=-\frac{5}{2}$,
$csc(t)=\frac{1}{y}=\frac{5\sqrt {21}}{21}$.
