化简:(1-ctga)/(1+ctga)
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化简:(1-ctga)/(1+ctga)
a是一个角
a是一个角
![化简:(1-ctga)/(1+ctga)](/uploads/image/z/20112452-44-2.jpg?t=%E5%8C%96%E7%AE%80%3A%281-ctga%29%2F%281%2Bctga%29)
(1-ctga)/(1+ctga)
=(1-cosa/sina)/(1+cosa/sina)
=(sina-cosa)/(sina+cosa)
=(tga-1)/(tga+1)
=(tga-tgπ/4)(1+tga*tgπ/4)
=tg(a-π/4)
=(1-cosa/sina)/(1+cosa/sina)
=(sina-cosa)/(sina+cosa)
=(tga-1)/(tga+1)
=(tga-tgπ/4)(1+tga*tgπ/4)
=tg(a-π/4)