数学简单三角函数!
问题描述:
数学简单三角函数!
f(x)=2sin(wx+q)图象过(0,2)(6,0),求函数f(x)的解析式
(2)令M=f(x)+(1/2)f(-x),求M的最大值
答
f(x)=2sin(wx+q)图象过(0,2)(6,0)2=2sin(0+q)0=2sin(6w+q)w=±π/12,q=π/2f(x) = 2sin(-xπ/12+π/2)或f(x) = 2sin(xπ/12+π/2)因为sinα=sin(π-α)∴sin(-xπ/12+π/2)=sin[π-(-xπ/12+π/2)]=sin(xπ/12+π/2)...