已知tan(a+b)=2/5,tan(b-π/4)=1/4,则tan(a+π/4)等于
b是数学中的贝特
人气:202 ℃ 时间:2020-05-20 19:50:46
解答
a+π/4=a+b-(b-π/4)
tan(a+π/4)=(tan(a+b)-tan(b-π/4))/(1+tan(a+b)tan(b-π/4))
=(2/5-1/4)/(1+2/5*1/4)
=3/20*10/11
=3/22
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