利用诱导公式简化
y=sin(2x+6分之π)+cos(2x+三分之π)
= sin(2x+π/6)+cos[(π/2)-(2x+π/6)]
= sin(2x+π/6)+sin(2x+π/6)
= 2sin(2x+π/6)
∴ 最小正周期是T=2π/2=π
最大值是2
利用诱导公式简化
y=sin(2x+6分之π)+cos(2x+三分之π)
= sin(2x+π/6)+cos[(π/2)-(2x+π/6)]
= sin(2x+π/6)+sin(2x+π/6)
= 2sin(2x+π/6)
∴ 最小正周期是T=2π/2=π
最大值是2