y=sin(3x+1)+cos(2x+1)最小正周期

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y=sin(3x+1)+cos(2x+1)最小正周期y=sin(3x+1)+cos(2x+1)最小正周期y=sin(3x+1)+cos(2x+1)最小正周期sin(3x+1)T₁=2π/3

y=sin(3x+1)+cos(2x+1)最小正周期
y=sin(3x+1)+cos(2x+1)最小正周期

y=sin(3x+1)+cos(2x+1)最小正周期
sin(3x+1) T₁=2π/3
cos(2x+1) T₂=2π/2=π
2π/3整数倍依次为2π/3,4π/3,2π,.
所以最小T=2π(T₁,T₂最小公倍数)