(2/tanx)*[1+(tanx)*tan(x/2)] 怎么化简
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(2/tanx)*[1+(tanx)*tan(x/2)] 怎么化简
![(2/tanx)*[1+(tanx)*tan(x/2)] 怎么化简](/uploads/image/z/6512149-37-9.jpg?t=%282%2Ftanx%29%2A%5B1%2B%28tanx%29%2Atan%28x%2F2%29%5D+%E6%80%8E%E4%B9%88%E5%8C%96%E7%AE%80)
原式=2/tanx[1+tanxtan(x/2)]=2[(1/tanx)+tan(x/2)]
=2[(cosx/sinx)+(sinx/2)/(cosx/2)]
=2[(cosx/sinx)+2sin^(x/2)/sinx]
=2[(cosx/sinx)+(1-cosx)/sinx]
=2/sinx
=2[(cosx/sinx)+(sinx/2)/(cosx/2)]
=2[(cosx/sinx)+2sin^(x/2)/sinx]
=2[(cosx/sinx)+(1-cosx)/sinx]
=2/sinx
(2/tanx)*[1+(tanx)*tan(x/2)] 怎么化简
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