Вычислите: sin[latex] 13\pi/6[/latex]; cos(405); tg([latex] -11\pi/6[/latex]) ; ctg [latex] 5\pi/4[/latex]

[latex]sin\frac{13\pi}{6}=sin(2\pi +\frac{\pi}{6})=sin\frac{\pi}{6}=\frac{1}{2}\\\\cos405^0=cos(360^0+45^0)=cos45^0=\frac{\sqrt2}{2}\\\\tg(-\frac{11\pi}{6})=-tg(2\pi -\frac{\pi}{6})=-tg(-\frac{\pi}{6})=tg\frac{\pi}{6}=\frac{\sqrt3}{3}\\\\ctg\frac{5\pi}{4}=ctg(\pi +\frac{\pi}{4})=ctg\frac{\pi}{4}=1[/latex]