Question

Find the value of the trigonometric function tan $\frac{19π}{3}.$

Answer 1

It is known that the values of tan x repeat after an interval of π or 180°.

$tan\frac{19{\pi}}{3}=tan\,,6\frac{1}{3}{\pi}=tan(6{\pi}+\frac{\pi}{3})=t\frac{\pi}{3}=tan\,60°=√3$