题目
已知函数f(x)=2sin(2x+π/6),当x∈[π/12,π/2],求f(x)的值域
提问时间:2020-10-14
答案
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]
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]
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