函数f(x)=2sin(x/4)cos(x/4)-2√3[sin(x/4)]^2+√3
=sinx/2-根号3(1-cosx/2)+根号3
=sinx/2+根号3cosx/2
=2sin(x/2+pai/3)
最小正周期是:T=2pai/1/2=4pai
最小值是:-2
最大值是:2
(2)
g(x)=f(x+pai/3)
=2sin(x/2+pai/2)
=2cos(x/2)
是奇函数
已知：函数f(x)=2sin(x/4)cos(x/4)-2√3[sin(x/4)]^2+√3
1个回答
相关问题
-
已知函数f(x)=cos(2x-∏/3)+2sin(x-∏/4)sin(x+∏/4).
-
已知函数f(x)=sin(x+π/4)+2cos(x-π/4)+2sin2x+3cos(x+3π/4) ; g(x)=f
-
已知函数f(x)=2sin(x/4)cos(x/4)-2√3sin²（x/4)+√3,且g(x)=f(x+π/
-
已知函数f(x)已知函数f(x)=2√3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π)
-
已知函数 f(x)=cos(2x- π 3 )+2sin(x- π 4 )sin(x+ π 4 ) ．
-
已知函数f(x)=cos(2x-π/3）+2sin(x-π/4）sin(x+π/4)
-
已知函数f(x)＝cos(2x−π3)+2sin(x−π4)sin(x+π4)．
-
已知函数f(x)=2√3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π)
-
已知函数f(x)=cos^4 x－2sin x cos x－sin^4 x
-
已知函数f(x)＝4sin2x•sin2(x+π4)+cos4x．