Answer
$sin$(-60) = $\frac{-\sqrt3}{2}$
$cos$(-60) = $\frac{1}{2}$
$tan$(-60) = $\frac{-\sqrt3}{1}$
$cot$(-60) = $\frac{-\sqrt3}{3}$
$sec$(-60) = $\frac{2}{1}$ = 2
$csc$(-60) = $\frac{-2\sqrt3}{3}$
Work Step by Step
300$^{\circ}$
We can solve for the functions by using the coterminal angle. We can find the coterminal angle by adding or subtracting 360$^{\circ}$ as many times as needed.
300$^{\circ}$ - 360$^{\circ}$ = -60$^{\circ}$
$sin$(-60) = $\frac{-\sqrt3}{2}$
$cos$(-60) = $\frac{1}{2}$
$tan$(-60) = $\frac{-\sqrt3}{1}$
$cot$(-60) = $\frac{-1}{\sqrt3}$ = $\frac{-\sqrt3}{3}$
$sec$(-60) = $\frac{2}{1}$ = 2
$csc$(-60) = $\frac{-2}{\sqrt3}$ = $\frac{-2\sqrt3}{3}$
