化简根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)
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![化简根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)](/uploads/image/z/616434-42-4.jpg?t=%E5%8C%96%E7%AE%80%E6%A0%B9%E5%8F%B7%EF%BC%88cos2x%2Bsinx%E5%9B%9B%E6%AC%A1%E6%96%B9%EF%BC%89%2B%E6%A0%B9%E5%8F%B7%EF%BC%88cosx%E5%9B%9B%E6%AC%A1%E6%96%B9-cos2x%EF%BC%89)
化简根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)
化简根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)
化简根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)
cos2x+sinx四次方=1-2(sinx)^2+(sinx)^4=(1-(sinx)^2)^2=(sinx)^4
cosx四次方-cos2x=(1-(cosx)^2)^2=(cosx)^4
根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)=(sinx)^2+(cosx)^2=1
根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)
=根号(1-2sinx^2+sinx四次方)+根号(cosx四次方-2cosx^2+1)
=1-sinx^2+1-cosx^2
=1
根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)
= 根号{ (1 - 2sin^2x) + sin^4x } + 根号{cos^4x -(2cos^2x-1)}
= 根号{ sin^4x - 2sin^2x + 1 } + 根号{cos^4x - 2cos^2x + 1 }
= 根号{ (sin^2x - 1)^2 } + 根号{ (cos^...
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根号(cos2x+sinx四次方)+根号(cosx四次方-cos2x)
= 根号{ (1 - 2sin^2x) + sin^4x } + 根号{cos^4x -(2cos^2x-1)}
= 根号{ sin^4x - 2sin^2x + 1 } + 根号{cos^4x - 2cos^2x + 1 }
= 根号{ (sin^2x - 1)^2 } + 根号{ (cos^2x - 1)^2 }
= 1 - sin^2x + 1 - cos^2x
= 2 - (sin^2x + cos^2x)
= 2 - 1
= 1
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