化简：(1+sin x-cos x)/(1+sin x+cos x) 谢
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化简：(1+sinx-cosx)/(1+sinx+cosx)谢化简：(1+sinx-cosx)/(1+sinx+cosx)谢化简：(1+sinx-cosx)/(1+sinx+cosx)谢：(1+sin
化简：(1+sin x-cos x)/(1+sin x+cos x) 谢
化简：(1+sin x-cos x)/(1+sin x+cos x) 谢
化简：(1+sin x-cos x)/(1+sin x+cos x) 谢
：(1+sin x-cos x)/(1+sin x+cos x)
=[1+2sin(x/2)cos(x/2)-(1-2sin(x/2)^2]/[1+2sin(x/2)cos(x/2)+2cos(x/2)^2-1]
=[2sin(x/2)cos(x/2)+2sin(x/2)^2]/[2sin(x/2)cos(x/2)+2cos(x/2)^2]
=2sin(x/2)[cos(x/2)+sin(x/2)]/{2cosx/2*[sin(x/2)+cos(x/2)]}
=sin(x/2)/cos(x/2)
=tanx/2
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