将函数y=Sin2x+Cos2x的图像向左平移π/4个单位长度

问题描述:

将函数y=Sin2x+Cos2x的图像向左平移π/4个单位长度

y=sin2x+cos2x
=√2sin(2x+π/4)
图像向左平移π/4后y=√2sin2(x+π/4+π/8)=√2sin(2x+3π/4)

y=Sin2x+Cos2x=√2sin(2x+π/4)
向左平移π/4个单位变为
y=√2sin[2(x+π/8+π/4)]==√2sin(2x+3π/4)