作业帮sin(π/12)-cos(π/12)=
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/09 07:32:11
sin(π/12)-cos(π/12)=
sin(π/12)-cos(π/12)=
sin(π/12)-cos(π/12)=
0
[sin(π/12)-cos(π/12)]²
=sin²(π/12)-2sin(π/12)cos(π/12)+cos²(π/12)
=1-sin(π/6)
=1/2
∵sin(π/12)
sin(π/12)-cos(π/12)=√2[sin(π/12)(√2/2)-(√2/2)cos(π/12)]
=√2[sin(π/12)cos(π/4)-cos(π/12)sin(π/4)]
=√2sin[(π/12)-(π/4)]
=√2sin(-π/6)
=-√2/2