﹙1﹚sin(x-π/4﹚=√﹙1-1/50﹚=7√2/10﹙π/4<x<3π/4,取正﹚sinx=sin(x-π/4+π/4﹚=sin﹙x-π/4﹚cosπ/4+cos﹙x-π/4﹚sinπ/4=4/5cosx=-3/5﹙2﹚sin﹙2x+π/3﹚=sin2xcosπ/3+cos2xsinπ/3=2×﹙4/5﹚×﹙-3/5﹚×﹙1/2﹚+[﹙-3/5﹚²-﹙4/5﹚²]﹙√3/2﹚=-12/25-7√3/50