Решить неравенства: 1) 2) 3) 4)

Question

Решить неравенства:
1)
2)
3)
4)

Answer 1

1
tgx>1/√3
x∈(π/6+πk;π/2+πk,k∈z)
2
tg2x≥1/√3
π/6+πk≤2x≤π/2+πk,k∈z
x∈[π/12+πk/2;π/4+∈z)
3
tgx/3<1/</span>√3
-π/2+πk-3π/2+3πk
4
tg(x-π/9)≤-1/√3
-π/2+πk≤x-π/9≤-π/6+πk,k∈z
-π/2+π/9+πk≤x≤-π/6+π/9+πk,k∈z
-7π/18+πk≤x≤-π/18+πk,k∈z

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