若Y=3Sin(2x—π/3+φ)+1是偶函数,则φ是多少_数学解答

若Y=3Sin(2x—π/3+φ)+1是偶函数,则φ是多少

人气：347 ℃　时间：2020-06-16 18:56:43

解答

Y=f(x)=3Sin(2x—π/3+φ)+1是偶函数f(-x)=f(x)∴3sin(-2x+Φ-π/3)+1=3sin(2x+Φ-π/3)+1∴sin(-2x)cos(Φ-π/3)+cos(-2x)sin(Φ-π/3)=sin2xcos(Φ-π/3)+cos2xsin(Φ-π/3)∴-sin2xcos(Φ-π/3)+cos2xsin(Φ-π/3...