Question

помогите решить. тиргонометрические неравенства. решите графически

Answer 1

а
2π/3+2πn<3x<4π/3+2πn
2π/9+2πn/3<x<4π/9+2πn
x∈(2π/9+2πn/3;4π/9+2πn,n∈z)
б
sinx>1/2
π/6+2πn<2x<5π/6+2πn
π/12+πn<x<5π/12+πn,n∈z
x∈(π/12+πn;5π/12+πn,n∈z)
в
-tgx/2<1
tgx/2>-1
-π/4+πn<x/2<π/2+πn
-π/2+2πn<x<π+2πn,n∈z
x∈(-π/2+2πn;π+2πn,n∈z)
(это верный ответ,а то отметите ошибку)
г
sin2x≥√2/2
π/4+2πn≤2x≤3π/4+2πn
π/8+πn≤x≤3π/8+πn,n∈z
x∈[π/8+πn;3π/8+πn,n∈z]