sinxcosx>√3/4
2sinxcosx>√3/2
sin2x>√3/2;
π/3+2πk<2x<2π/3+2πk,k∈z
π/6+πk<x<π/3+πk,k∈z
ответх∈(π/6+πк;π/3+πк),к∈z
tg(π/4-2x)≥1
-tg(2x-π/4)≥1
tg(2x-π/4)≤ -1
-π/2+πk<2x-π/4≤ -π/4+πk,k∈z
-π/2+π/4+πk<2x≤-π/4+π/4+πk,k∈z
-π/4+πk<2x≤πk,k∈z
-π/8+πk/2<x≤πk/2,k∈z ответ.х∈(-π/8+πк/2;πк/2],k∈z
sinxcosx>√3/4
2sinxcosx>√3/2
sin2x>√3/2;
π/3+2πk<2x<2π/3+2πk,k∈z
π/6+πk<x<π/3+πk,k∈z
ответх∈(π/6+πк;π/3+πк),к∈z
tg(π/4-2x)≥1
-tg(2x-π/4)≥1
tg(2x-π/4)≤ -1
-π/2+πk<2x-π/4≤ -π/4+πk,k∈z
-π/2+π/4+πk<2x≤-π/4+π/4+πk,k∈z
-π/4+πk<2x≤πk,k∈z
-π/8+πk/2<x≤πk/2,k∈z ответ.х∈(-π/8+πк/2;πк/2],k∈z