已知函数f(x)=sin(2x+π/3)+sin(2x-π/3)+2cos^2x-1求f(x)在区间{-π/4,π/4}上的最大值和最小值x∈[-π/4,π/4]①2x∈[-π/2,π/2]②2x+π/4∈[-π/4,3π/4]③-1

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/20 13:30:23
已知函数f(x)=sin(2x+π/3)+sin(2x-π/3)+2cos^2x-1求f(x)在区间{-π/4,π/4}上的最大值和最小值x∈[-π/4,π/4]①2x∈[-π/2,π/2]②2x+π/4∈[-π/4,3π/4]③-1
x){}K}6uCFmqfQ}cMmG1J/ mlJ{ΧsV|V˳9 O,ڰ{C?]#8Fp1#Pl!&PՋt mr:X#`ql>JX4;!!8(Ov/}ڷidžgk?ݳ h/1@WX> lNU!BⰳTQ,#}#[<;PXk#

已知函数f(x)=sin(2x+π/3)+sin(2x-π/3)+2cos^2x-1求f(x)在区间{-π/4,π/4}上的最大值和最小值x∈[-π/4,π/4]①2x∈[-π/2,π/2]②2x+π/4∈[-π/4,3π/4]③-1
已知函数f(x)=sin(2x+π/3)+sin(2x-π/3)+2cos^2x-1
求f(x)在区间{-π/4,π/4}上的最大值和最小值
x∈[-π/4,π/4]①
2x∈[-π/2,π/2]②
2x+π/4∈[-π/4,3π/4]③
-1

已知函数f(x)=sin(2x+π/3)+sin(2x-π/3)+2cos^2x-1求f(x)在区间{-π/4,π/4}上的最大值和最小值x∈[-π/4,π/4]①2x∈[-π/2,π/2]②2x+π/4∈[-π/4,3π/4]③-1
2x+π/4∈[-π/4,3π/4] 可以去到正弦值最大的角π/2,可以去到正弦值最小的角-π/4
所以-√2/2=