Решить неравенства: 1) 2sinx> 1 2) cos(x+π\4)≤-√2/2 3) tg2x≤tg π/3

1) 2sinx>1
sinx>1/2
x∈(π/6+2πk;5π/6+2πk,k∈z

2) cos(x+π\4)≤-√2/2
5π/4+2πk≤x+π/4≤11π/4+2πk
π+2πk≤x≤5π/2+2πk
x∈[π+2πk;5π/2+2πk,k∈z]

3) tg2x≤tg π/3
-π/2+πk≤2x≤π/3+πk
-π/4+πk/2≤xπ/6+πk/2,k∈z
x∈[-π/4+πk/2≤xπ/6+πk/2,k∈z]