做一下这道高中数学题,谢谢。

2025-05-10 02:46:36
推荐回答(2个)
回答1:

回答2:

﹙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
=4/5
cosx=-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