由三角函数性质
f(x)=cos2x+√3sin2x
=2sin(2x+30°)
故f(x)max=M=2
T=2π/2=π
而当
-90°+360°k≤2x+30°≤90°+360°k,k∈Z,
即x∈[-60°+180°k,30°+180°k]时,f(x)递增
由三角函数性质
f(x)=cos2x+√3sin2x
=2sin(2x+30°)
故f(x)max=M=2
T=2π/2=π
而当
-90°+360°k≤2x+30°≤90°+360°k,k∈Z,
即x∈[-60°+180°k,30°+180°k]时,f(x)递增