如何将y=(sin^2(x/4)+cos^2(x/4))^2-2sin^2(x/4)cos^2(x/4)变形到(3/4)+(1/4)cosx?
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如何将y=(sin^2(x/4)+cos^2(x/4))^2-2sin^2(x/4)cos^2(x/4)变形到(3/4)+(1/4)cosx?
y=((1-cosx/2)/2+(1+cosx/2)/2)^2-2((1-cosx/2)/2)((1+cosx/2)/2)
=(1)^2-1/2 * (1-cosx/2)(1+cosx/2)
=1-1/2 * (1-cos^2(x/2))
=1-1/2+1/2 * (1+cosx)/2
=1/2+1/4+(1/4)cosx
=3/4+(1/4)cosx
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