1/66 sin x/66 ≤ 1/132 помогите решить ((....

Question

1/66 sin x/66 ≤ 1/132 помогите решить ((....

Answer 1

Sin x/66≤1/132*66
sin x/66≤1/2
-7π/6+2πn≤x/66≤π/6+2πn     n∈Z
-7π/6*66+2πn*66≤x≤π/6*66+2πn*66
-77π+132πn≤x≤11π+132πn

или  по формулам приведения
-77π+132π*n=-(π+38*2π)+132πn=-π+132πn
11π+132πn=π+5*2π+132πn=π+132πn
-π+132πn≤x≤π+132πn