Question

sin (x+pi/6) *cos (x+pi/6)> 1/4

Answer 1

1/2sin(2x+π/3)>1/4
sin(2x+π/3)>1/2
π/6+2πn<2x+π/3<5π/6+2πn
-π/6+2πn<2x<π/2+2πn
-π/12+πn<x<π/4+πn,n∈z