作业帮sin(45-3x)*cos(60-3x)-cos(30+3x)*sin(45+3x) ?
来源：学生作业帮 编辑：拍题作业网作业帮 分类：数学作业 时间：2024/04/30 22:14:51
sin(45-3x)*cos(60-3x)-cos(30+3x)*sin(45+3x) ?
sin(45-3x)*cos(60-3x)-cos(30+3x)*sin(45+3x)
=sin(45-3x)*cos(60-3x)-sin[90-(30+3x)]*cos[90-(45+3x)]
=sin(45-3x)*cos(60-3x)-sin(60-3x)*cos(45-3x)
=sin[(45-3x)-(60-3x)]
=sin(45-60)
=sin45cos60-cos45sin60
=(√2-√6)/4
=sin(45-3x)*cos(60-3x)-sin[90-(30+3x)]*cos[90-(45+3x)]
=sin(45-3x)*cos(60-3x)-sin(60-3x)*cos(45-3x)
=sin[(45-3x)-(60-3x)]
=sin(45-60)
=sin45cos60-cos45sin60
=(√2-√6)/4
sin(45-3x)*cos(60-3x)-cos(30+3x)*sin(45+3x)
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