作业帮求1-cos^6x-sin^6x/1-cos^4x-sin^4x的值,
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/08 20:25:39
求1-cos^6x-sin^6x/1-cos^4x-sin^4x的值,
求1-cos^6x-sin^6x/1-cos^4x-sin^4x的值,
求1-cos^6x-sin^6x/1-cos^4x-sin^4x的值,
(1-cos^6x-sin^6x)/(1-cos^4x-sin^4x)
=[1-(cos^6x+sin^6x)]/[1-(cos^4x-sin^4x)]
=[1-(cos^2x+sin^2x)(cos^4x-cos^2xsin^2x+sin^4x)]/[1-(cos^2x-sin^2x)(cos^2x+sin^2x)]
=[1-(cos^4x-cos^2xsin^2x+sin^4x)]/[1-(cos^2x-sin^2x)]
=[1-(cos^4x+2cos^2xsin^2x+sin^4x-3cos^2xsin^2x)]/[1-cos^2x+sin^2x]
={1-[(cos^2x+sin^2x)^2-3cos^2xsin^2x]}/[sin^2x+sin^2x]
={1-[1-3cos^2xsin^2x]}/(2sin^2x)
=(1-1+3cos^2xsin^2x)/(2sin^2x)
=3cos^2xsin^2x/(2sin^2x)
=3cos^2x/2
求(1-sin^6x-cos^6x)/(1-sin^4x-cos^4x)的值
求1-cos^6x-sin^6x/1-cos^4x-sin^4x的值,
化简 1-sin^4x-cos^4x/1-sin^6x-cos^6x
化简(1-cos^4x-sin^4x)/(1-cos^6x-sin^6x)
求值：(1-sin^6 x-cos^6 x)/(1-sin^4 x-cos^4 x)
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