Question

Решите уравнение:
cos^2 x-cos x=0

Answer 1

cos²x-cosx=0
cosx(cosx-1)=0
1)cosx=0
x=π/2+πk;k€Z
2)cosx-1=0
cosx=1
x=2πk;k€Z

Answer 2

cos²x-cosx=0
cosx(cosx-1)=0
[cosx=0⇒x=π/2+πn,n∈z
[cosx=1⇒x=2πn,n∈z