1)x=π/8 + kπ, k€Z
x=3π/8 + kπ, k€Z
Пошаговое объяснение:
2sin(2x)-√2=0
2sin(2x)=√2
sin2x=√2/2
sin(2x)=√2/2
sin(π-2x)=√2/2
2x=arcsin(√2/2)
π-2x=arcsin(√2/2)
2x=π/4
π-2x=π/4
2x=π/4 +2kπ, k€Z
π-2x=π/4 + 2kπ, k€Z
x=π/8 + kπ, k€Z
x=3π/8 + kπ, k€Z
x=π/8 + kπ, k€Z
x=3π/8 + kπ, k€Z
x=π/8 + kπ, k€Z
x=3π/8 + kπ, k€Z
