Question

1/2(cos3x-п/3)>√2/4 решить неравенство

Answer 1

cos(3x-π/3)>√2/4:1/2
cos(3x-π/3)>√2/4*2
cos(3x-π/3)>√2/2
-π/4+2πn<3x-π/3<π/4+2πn
-π/4+π/3+2πn<3x<π/4+π/3+2πn
π/12+2πn<3x<7π/12+2πn
π/36+2πn/3<x<7π/36+2πn/3
Ответ х∈(π/36+2πn/3;7π/36+2πn/3)