sinx/(1+cosx)化简我记得化简结果又tan的!

问题描述:

sinx/(1+cosx)化简
我记得化简结果又tan的!

sinx/(1+cosx)
=2sin(x/2)cos(x/2)/2cos^2(x/2)
=tan(x/2)

sinx/(1+cosx)
=[2sin(x/2)cos(x/2)]/[2cos²(x/2)]
=tan(x/2)

sinx/(1+cosx)化简
sinx/(1+cosx)=2sin(x/2)cos(x/2)/(2cos²(x/2)=sin(x/2)/cos(x/2)=tan(x/2).

sinx=2sinx/2cosx/x
cosx=cosx/2^2-sinx/2^2
1=cosx/2^2+sinx/2^2
综上化解得tanx/2