sin(П/4-3x)cos(П/3-3x)-cos(П/6+3П)-sin(П/4+3П)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 09:11:23

sin(П/4-3x)cos(П/3-3x)-cos(П/6+3П)-sin(П/4+3П)
sin(П/4-3x)cos(П/3-3x)-cos(П/6+3П)-sin(П/4+3П)

sin(П/4-3x)cos(П/3-3x)-cos(П/6+3П)-sin(П/4+3П)
sin(П/4-3x)cos(П/3-3x)-cos(П/6+3x)sin(П/4+3x)
=cos[П/2-(П/4-3x)]sin[П/2-(П/3-3x)]-cos(П/6+3x)sin(П/4+3x)
=cos(П/4+3x)sin(П/6+3x)-cos(П/6+3x)sin(П/4+3x)
=-2sinП/24cos(5П/24+3x)

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