Задача 52987 ...

vk45391524

2020-08-07 09:02:09

3. Вычислите 2 sin ( - π/4 ) + cos 5π/3 - 2tg ( 2π ) - 3ctg π/2

sova

2020-08-07 11:49:50

★

[m]sin(-\frac{\pi}{4})=-\frac{\sqrt{2}}{2}[/m]

[m]cos(\frac{5\pi}{3})=cos(2\pi-\frac{\pi}{3})=cos(-\frac{\pi}{3})=cos(\frac{\pi}{3})=\frac{1}{2}[/m]

[m]tg(2π)=tg0=0[/m]

[m]ctg \frac{\pi}{2}=0[/m]

О т в е т. [m]2sin(-\frac{\pi}{4})+cos(\frac{5\pi}{3})+tg(2π)+ctg \frac{\pi}{2}=-\sqrt{2}+\frac{1}{2}[/m]