将y=4sin^4x+4cos^4x-3转化为y=Asin(wx+φ)的形式
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将y=4sin^4x+4cos^4x-3转化为y=Asin(wx+φ)的形式
将y=4sin^4x+4cos^4x-3转化为y=Asin(wx+φ)的形式
将y=4sin^4x+4cos^4x-3转化为y=Asin(wx+φ)的形式
原式=4(sin^2x+cos^2x)^2-8sin^2xcos^2x-3
=1-8sin^2xcos^2x
=1-2(sin2x)^2
=cos4x
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将y=4sin^4x+4cos^4x-3转化为y=Asin(wx+φ)的形式
y=sin^4x+cos^4x=(sin^2x+cos^2x)^2-2sin^2xcos^2x 这一步是怎么来的?