函数f ( x ) = sin ^ 2(x + 派＼4)-sin ^ 2(x - 派＼4)是周期为?什么函数?

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/01 01:40:32

函数f ( x ) = sin ^ 2(x + 派＼4)-sin ^ 2(x - 派＼4)是周期为?什么函数?
函数f ( x ) = sin ^ 2(x + 派＼4)-sin ^ 2(x - 派＼4)是周期为?什么函数?

函数f ( x ) = sin ^ 2(x + 派＼4)-sin ^ 2(x - 派＼4)是周期为?什么函数?
用Pi表示圆周率.
f(x)=sin^2(x+Pi/4)-sin^2(x-Pi/4)
=[sin(x+Pi/4)+sin(x-Pi/4)]*[sin(x+Pi/4)-sin(x-Pi/4)]
(利用和差化积公式)
=[2*sinx*cos(Pi/4)][2*cosx*sin(Pi/4)]
=sin(2x).
所以周期就是Pi,是奇函数.

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+∮)(-兀 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)(0 已知函数F(X)=SIN(2X+φ)(-π 函数f(x)=sin(2x+φ)((|φ| 设函数f(x)=sin(2x+φ)(-π 设函数f(x)=sin(2x+φ)(-π 函数f(x)=sin(2x+φ)(0 已知函数f(x)=sin(2x+φ) (0 设函数f(x)=sin(2x+ φ)(-π 函数f(x)=sin(2x+?)(-丌 函数f（x）=sin^2x求导 若函数f(x)=sin(2x+θ) (-pai