已知函数f(x)=2sin(2x+π/6),当x∈[π/12,π/2],求f(x)的值域_数学解答

已知函数f(x)=2sin(2x+π/6),当x∈[π/12,π/2],求f(x)的值域

人气：452 ℃　时间：2019-09-29 02:55:52

解答

x∈[π/12,π/2]
2x∈[π/6,π]
2x+π/6∈[π/3,7π/6]
sin(2x+π/6)∈[-1/2,1]
2sin(2x+π/6)∈[-1,2]
值域为：[-1,2]