已知函数f(x)=sin(x+π/6)+2sin∧2 x/2,求f(x)最大值

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/24 16:42:03
已知函数f(x)=sin(x+π/6)+2sin∧2 x/2,求f(x)最大值
x){}K}6uCFmqfF=4PQr# }#g@ixdӆ=6IE_`gCwVP79.WiA h:,E5zԹ\ ew;7f7/.H̳a2^

已知函数f(x)=sin(x+π/6)+2sin∧2 x/2,求f(x)最大值
已知函数f(x)=sin(x+π/6)+2sin∧2 x/2,求f(x)最大值

已知函数f(x)=sin(x+π/6)+2sin∧2 x/2,求f(x)最大值
f(x)=sin(x+π/6)+2sin∧2 x/2
=sin(x+π/6)+1-cosx
=sinxcos(π/6)+cosxsin(π/6)+1-2cosxsin(π/6)
=sinxcos(π/6)-cosxsin(π/6)+1
=sin(x-π/6)+1
-2≤f(x)≤2
f(x)最大值是2