Answer
$sin(t) =\frac{\sqrt 2}{3}$,
$cos(t) =-\frac{\sqrt 7}{3}$,
$tan(t) =-\frac{\sqrt {14}}{7}$,
$cot(t) =-\frac{\sqrt {14}}{2}$,
$sec(t) =-\frac{3\sqrt {7}}{7}$,
$csc(t) =\frac{3\sqrt {2}}{2}$.
Work Step by Step
Given point $P$ on the unit circle, we have $x=-\frac{\sqrt 7}{3}, y=\frac{\sqrt 2}{3}$, we have:
$sin(t)=y=\frac{\sqrt 2}{3}$,
$cos(t)=x=-\frac{\sqrt 7}{3}$,
$tan(t)=y/x=-\frac{\sqrt {14}}{7}$,
$cot(t)=x/y=-\frac{\sqrt {14}}{2}$,
$sec(t)=1/x=-\frac{3\sqrt {7}}{7}$,
$csc(t)=1/y=\frac{3\sqrt {2}}{2}$.
