Question

√2/2sinx-√2/2cosx>=-1/2

Answer 1

sin(x-π/4)≥-1/2
-π/6+2πk≤x-π/4≤7π/6+2πk
-π/6+π/4+2πk≤x≤7π/6+π/4+2πk
π/12+2πk≤x≤17π/12+2πk,k∈z