Answer
$sin$(750)$^{\circ}$ = $\frac{1}{2}$
$cos$(750)$^{\circ}$ = $\frac{\sqrt3}{2}$
$tan$(750)$^{\circ}$ = $\frac{\sqrt3}{3}$
$cot$(750)$^{\circ}$ = $\sqrt3$
$csc$(750)$^{\circ}$ = 2
$sec$(750)$^{\circ}$ = $\frac{2\sqrt3}{3}$
Work Step by Step
750$^{\circ}$
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.
750$^{\circ}$ - 360$^{\circ}$ = 390$^{\circ}$
390$^{\circ}$ - 360$^{\circ}$ = 30$^{\circ}$
$sin$(30)$^{\circ}$ = $\frac{1}{2}$
$cos$(30)$^{\circ}$ = $\frac{\sqrt3}{2}$
$tan$(30)$^{\circ}$ = $\frac{1}{\sqrt3}$ = $\frac{\sqrt3}{3}$
$cot$(30)$^{\circ}$ = $\frac{\sqrt3}{1}$ = $\sqrt3$
$csc$(30)$^{\circ}$ = $\frac{2}{1}$ = 2
$sec$(30)$^{\circ}$ = $\frac{2}{\sqrt3}$ = $\frac{2\sqrt3}{3}$
