Пошаговое объяснение:
2cosx/3+√2=0
2cosx/3=-√2
cosx/3=-√2/2
cos2π-x/3=-√2/2
x/3=arccos-√2/2
2π-x/3=arccos-√2/2
x/3=3π/4
2π-x/3=3π/4
x/3=3π/4+2kπ, k∈Z
2π-x/3=3π/4+2kπ, k∈Z
x=9π/4+6kπ, k∈Z
x=15π/4+6kπ, k∈Z
Пошаговое объяснение:
2cosx/3+√2=0
2cosx/3=-√2
cosx/3=-√2/2
cos2π-x/3=-√2/2
x/3=arccos-√2/2
2π-x/3=arccos-√2/2
x/3=3π/4
2π-x/3=3π/4
x/3=3π/4+2kπ, k∈Z
2π-x/3=3π/4+2kπ, k∈Z
x=9π/4+6kπ, k∈Z
x=15π/4+6kπ, k∈Z