作业帮证明1-2sinxcosx/cos^2x-sin^2x=cos^2x-sin^2/1+2sinxcosx
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证明1-2sinxcosx/cos^2x-sin^2x=cos^2x-sin^2/1+2sinxcosx
证明1-2sinxcosx/cos^2x-sin^2x=cos^2x-sin^2/1+2sinxcosx
证明1-2sinxcosx/cos^2x-sin^2x=cos^2x-sin^2/1+2sinxcosx
左边=(sin²x+cos²x+2sinxcosx)/(sinx+cosx)(sinx-cosx)
=(sinx+cosx)²/(sinx+cosx)(sinx-cosx)
=(sinx+cosx)/(sinx-cosx)
分子分母同除以cosx
=(sinx/cosx+1)/(sinx/cosx-1)
=(tanx+1)/(tanx-1)
=右边
命题得证
sin^2x+cos^2x=1
(sin^2x+cos^2x)^2=1
sin^4x+2sin^2xcos^2x+cos^4x=1
cos^4x+sin^4x-2sin^2xcos^2x=1-4sin^2xcos^2x
(cos^2x-sin^2x)^2=(1-2sinxcosx)(1+2sinxcosx)
得1-2sinxcosx/cos^2x-sin^2x=cos^2x-sin^2/1+2sinxcosx
证明1-2sinxcosx/cos^2x-sin^2x=cos^2x-sin^2/1+2sinxcosx
证明1-2sinxcosx/cos^2x-sin^2x=1-tanx/1+tanx
证明：(1+2sinXcosX)/(sin^2X-cos^2X)=(tanX+1)/(tanX-1)
（cos^2x-sin^2x)/(1-2sinxcosx)=(1+tanx)/(1-tanx)证明题
证明：sin^2x(1+cotx)+cos^2x(1+tanx)=1-sinxcosx
化简2*(sinxcosx-cos平方x)+1
sin^2xtanx+(cos^2x/tanx)+2sinxcosx-1+cos/sinxcosx
求证 1+2sinxcosx/sin^2x-cos^2x=sin^2x-cos^2x/1-2sinxcosx
（1-2sinxcosx）/[（cos）^2]a-（sin^2）x=（1-tanx）/（1+tanx）证明
2sin^2x-sinxcosx-cos^2=1
化简y=2sinxcosx+2cos^2x-1
化简1+2sinxcosx+2cos²x
求cos^2x-sinxcosx-1/2单调增区间
cos^2+2sinxcosx+sin^2x
化简 根号3sinXcosX+cos*2X
y=sinxcosx+cos(2x)化简
化简:(cos*2x-0.5)/(sinxcosx)
sin^2xtanx+cos^2x/tanx+2sinxcosx-(1+cosx/sinxcosx)化简