已知函数f(x)=根号2sin(2x+π/4),x属于[π/6,π/3],求f(x)的值域
问题描述:
已知函数f(x)=根号2sin(2x+π/4),x属于[π/6,π/3],求f(x)的值域
答
x属于[π/6,π/3],则2x属于[π/3,π2/3],而2x+π/4属于[7π/12,11π/12],
答
令t=2x+π/4
则7π/12