三角函数证明及化简题1.证明sin^6x+cos^6x=(sin^2x+cos^2x)(cos^4x-cos^2xsin^2x+sin^4x) 2.化简2cos2x+sin^2x-4cosx

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三角函数证明及化简题1.证明sin^6x+cos^6x=(sin^2x+cos^2x)(cos^4x-cos^2xsin^2x+sin^4x) 2.化简2cos2x+sin^2x-4cosx

三角函数证明及化简题1.证明sin^6x+cos^6x=(sin^2x+cos^2x)(cos^4x-cos^2xsin^2x+sin^4x) 2.化简2cos2x+sin^2x-4cosx
三角函数证明及化简题
1.证明sin^6x+cos^6x=(sin^2x+cos^2x)(cos^4x-cos^2xsin^2x+sin^4x) 2.化简2cos2x+sin^2x-4cosx

三角函数证明及化简题1.证明sin^6x+cos^6x=(sin^2x+cos^2x)(cos^4x-cos^2xsin^2x+sin^4x) 2.化简2cos2x+sin^2x-4cosx
1就是立方和公式.
设sin²x=m,cos²x=n 左边就是m³+n³=(m+n)(m²-mn+n²)
2.cos2x=2cos²x-1
sin²x=1-cos²x
有4cos²x-2+1-cos²x-4cosx
=3cos²x-4cosx-1
=(3cosx-1)(cosx-1)-2
好像只能够这样了