函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/30 07:43:40
函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?
x){ھ iřyF4A]0gsnڰ&Hmv6d֠cPHP @` @`koa i )x@ (!`Qr Dg3CuʀA*O5/.H̳ <hMѠ9Q&MmSȌ7BK0 6F;k\}=

函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?
函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?

函数f(x)=sin(x/2+π/6)cos(x/2-π/6)的最小值?
f(x)=(√3/2sinx/2+1/2cosx/2)(√3/2cosx/2+1/2sinx/2)
=1/4(3sinx/2cosx/2+√3sin^2 x/2+√3cos^2 x/2+cosx/2sinx/2)
=1/4(2sinx+√3)
=1/2sinx+√3/4
最小值是√3/4-1/2 sinx取-1

sinαcosβ=[sin(α+β)+sin(α-β)]/2
f(x)=sin(x/2+π/6)cos(x/2-π/6)
=1/2(sinx+sinπ/3)
=1/2sinx+√3/4
最小值是√3/4-1/2

函数f(x)=cos2x+cos(x+π/3)+sin(x+π/6)+3sin^2x的最小值A.0 B.2 C.9/4 D.3 函数f(x)=sin(2x+π/6),g(x)=cos(x+φ),|φ| 设函数 f(x)=sin(2x+y),(-π 设函数f(x)=sin(2x+φ)(-π 设函数f(x)=sin(2x+φ)(-π 设函数f x=SIN(2X+φ)(-π 设函数f(x)=sin(2x+φ)(-π 设函数f(x)=sin(2x+φ)(-π 已知函数F(X)=SIN(2X+φ)(-π 设函数f(x)=sin(2x+φ)(-π 设函数f(x)=sin(2x+φ)(-π 设函数f(x)=sin(2x+ φ)(-π 设函数f(x)=sin(2x+φ)(-π 函数f(x)=sin(2x+a) -π 设函数f(x)=sin(2x+ φ)(-π 函数f(x)=sin(2x+&）(-π 函数f(x)=sin(2x+t) (-π 函数f(x)=sin(2x+a）(-π