如何推导 sinα^4-cosα^4=sinα^2-cosα^2

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如何推导 sinα^4-cosα^4=sinα^2-cosα^2
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如何推导 sinα^4-cosα^4=sinα^2-cosα^2
如何推导 sinα^4-cosα^4=sinα^2-cosα^2

如何推导 sinα^4-cosα^4=sinα^2-cosα^2

等于(sina^2+cosa^2)(sina^2-cos^2)

sinα^4-cosα^4=(sinα^2-cosα^2)*(sinα^2+cosα^2)
=(sinα^2-cosα^2)*1
=sinα^2-cosα^2