f(x)=3sin(2x+φ)
f(-x)=3sin(-2x+φ)=f(x)=3sin(2x+φ)
sin(-2x+φ)=sin(2x+φ)
所以-2x+φ=2kπ+2x+φ或-2x+φ=2kπ+π-(2x+φ)
這是恒等式
-2x+φ=2kπ+2x+φ
4x=-2kπ
這不是恒等式
-2x+φ=2kπ+π-(2x+φ)
所以φ=kπ+π/2
函數(shù)Y=3SIN(2X+φ )為偶函數(shù)
函數(shù)Y=3SIN(2X+φ )為偶函數(shù)
則φ=?
則φ=?
數(shù)學人氣:799 ℃時間:2020-06-16 03:35:13
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