请问:函数y=sin2(x+π/4)为何=cos2x说明白一点

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请问:函数y=sin2(x+π/4)为何=cos2x说明白一点请问:函数y=sin2(x+π/4)为何=cos2x说明白一点请问:函数y=sin2(x+π/4)为何=cos2x说明白一点y=sin2(

请问:函数y=sin2(x+π/4)为何=cos2x说明白一点
请问:函数y=sin2(x+π/4)为何=cos2x
说明白一点

请问:函数y=sin2(x+π/4)为何=cos2x说明白一点
y=sin2(x+π/4)
=sin(2x+ π/2)
=sin[ (π/2) -(-2x)]
=cos(-2x)
=cos2x

y =sin(π/2+2x)=cos2x,根据诱导公式sin(π/2+α)=cosα

y=sin2(x+π/4)
=sin(2x+ π/2)
=sin[ (π/2) +2x]
=cos2x