h(x)=f(x)+g(x)=cos²﹙x+π/12﹚+1+1/2sin2x
=½+½cos﹙2x+π/6﹚+1+½sin2x
=½+½[cos﹙2x﹚cosπ/6-sin2xsinπ/6]+1+½sin2x
=½[cos﹙2x﹚cosπ/6+sin2xsinπ/6]+3/2
=½cos﹙2x-π/6﹚+3/2
T(x)=2h(x)-3=cos﹙2x-π/6﹚,x∈﹙0,5π/6﹚
画图可得2x1-π/6=π/3,即x1=π/4,x2=﹣π/4+5π/3=17π/12,
x3=π/4+5π/3=23π/12
解集﹛π/4,17π/12,23π/12﹜