一道三角化解题目,帮帮忙(再线等)化解(1-sinx^6-cos^6)/(1-sin^4-cos^4)

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一道三角化解题目,帮帮忙(再线等)化解(1-sinx^6-cos^6)/(1-sin^4-cos^4)一道三角化解题目,帮帮忙(再线等)化解(1-sinx^6-cos^6)/(1-sin^4-cos^

一道三角化解题目,帮帮忙(再线等)化解(1-sinx^6-cos^6)/(1-sin^4-cos^4)
一道三角化解题目,帮帮忙(再线等)
化解(1-sinx^6-cos^6)/(1-sin^4-cos^4)

一道三角化解题目,帮帮忙(再线等)化解(1-sinx^6-cos^6)/(1-sin^4-cos^4)
=[1-(sinx^2+cosx^2)(sinx^4-sinx^2cosx^2+cosx^4)]/[1-(sinx^2+cosx^2)^2+2sinx^2cosx^2]
=(1-sinx^4+sinx^2cosx^2-cosx^4)*2sinx^2cosx^2
=[1-(sinx^2+cosx^2)^2+3sinx^2cosx^2]*2sinx^2cosx^2
=3/4sin2x^2*1/2sin2x^2
=3/8sin2x^4