Answer
$sin$(315) = $\frac{-\sqrt2}{2}$
$cos$(315) = $\frac{\sqrt2}{2}$
$tan$(315) = -1
$cot$(315) = -1
$sec$(315) = -$\sqrt2$
$sin$(315) = $\sqrt2$
Work Step by Step
315$^{\circ}$
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$^{\circ}$ = -45$^{\circ}$
$sin$(-45) = $\frac{-1}{\sqrt2}$ = $\frac{-\sqrt2}{2}$
$cos$(-45) = $\frac{1}{\sqrt2}$ = $\frac{\sqrt2}{2}$
$tan$(-45) = $\frac{-1}{1}$ = -1
$cot$(-45) = $\frac{1}{-1}$ = -1
$sec$(-45) = $\frac{\sqrt2}{-1}$ = -$\sqrt2$
$sin$(-45) = $\frac{\sqrt2}{1}$ = $\sqrt2$
