高数,微分.sin(x)的n次幂=sin(x+n*π/2)为啥.

来源:学生作业帮助网 编辑:作业帮 时间:2024/08/31 23:55:45
高数,微分.sin(x)的n次幂=sin(x+n*π/2)为啥.
x){zƳt[M83OBgk>d xB;O|=Ovz:uMR>^Pf=\!DUr~1P, ҠN(RUfE1L!ؔ@B*M *A TVF`|S$5,"0鲦gk<ݷy';~ڿ"26l @{@

高数,微分.sin(x)的n次幂=sin(x+n*π/2)为啥.
高数,微分.
sin(x)的n次幂=sin(x+n*π/2)为啥.

高数,微分.sin(x)的n次幂=sin(x+n*π/2)为啥.
sin(x)的1次幂:cos(x)=sin(x+π/2)
sin(x)的2次幂:-sinx=sin(x+2*π/2)
sin(x)的3次幂:-cos(x)=sin(x+3*π/2)
sin(x)的4次幂:sin(x)=sin(x+4*π/2)=sinx
sin(x)的5次幂=sin(x)的1次幂= cos(x)=sin(x+π/2+2π)=sin(x+5*π/2)
……
如此循环下去可得:
sin(x)的n次幂=sin(x+n*π/2)