Задача 13700 Cos(x/2+pi/4)+1=0...

Alina123

13.02.2017

Cos(x/2+pi/4)+1=0

SOVA

13.02.2017

★

cos((x/2)+(π/4))+1=0;
cos((x/2)+(π/4))=-1;
(x/2)+(π/4)=(-π)+2πk, k∈Z
(x/2)=(-π/4)+(-π)+2πk, k∈Z
(x/2)=(-5π/4)+2πk, k∈Z
x=(-5π/2)+4πk, k∈Z
О т в е т. (-5π/2)+4πk, k∈Z