b=5,∠B=四分之π,tanA=2

你好~第一这道题考的是公式的变换,拆角呵呵.我差点就做不了,大二了,都混的差不多咯~回想高中真不错tan2A=tan=/=1/7tan2B的做法一样的,我就不做了第二:cosBAC=根号6/6,你就可

tana+tanb/1-tanatan

tan2a=tan[(a+b)+(a-b)]=[tan(a+b)+tan(a-b)]/[1-tan(a+b)tan(a-b)]=[3+5]/[1-3*5]=-4/7tan2b=tan[(a+b)-(a

∵tan(b-π/3)=1/3∴tan(π/3-b)=-1/3∵tan(a+b)=3/5∴tan(a+π/3)=tan[(a+b)+(π/3-b)]=[tan(a+b)+tan(π/3-b)]/[1-

证明：因为(A-B)+(B-C)+(C-A)＝0故：tan(C-A)=-tan[(A-B)+(B-C)]=-[tan(A-B)+tan(B-C)]/[1-tan(A-B)tan(B-C)]故：tan(

cosa=±√[1-(sina)^2]=±3/5∵a∈(π/2,π)∴cosa=-3/5tana=sina/cosa=-4/3tan(a-b)=(tana-tanb)/(1+tanatanb)=1/2

因为cosA=4/5,且A是锐角,所以sinA=根号下[1-（cosA的平方)]=3/5,所以tanA=sinA/cosaA=3/4tanA=tan[(A-B)+B]=[tan(A-B)+tanB]/

tan(π-b)=1/3＝－tanbtanb=-1/3tan2b=2tanb/(1-tanb^2)=-3/4sin(π-a)=3/5=sina,tana=-3/4tan(a+2b)=(tana+tan

arctan(1/4)+排/4=56.25arctan(2/5)-B=12.69-B=56.25B=43.56tan(43.56+排/4)=39.78

∵tan(π-b)=1/2根据诱导公式∴-tanb=1/2,tanb=-1/2二倍角公式∴tan2b=2tanb/(1-tan²b)=-1/(1-1/4)=-4/3两角差正切公式∴tan(a

tan(b+π/4)=1/4[tanb+tan(π/4)]/[1-tanbtan(π/4)]=1/4(tanb+1)/(1-tanb)=1/45tanb=-3tanb=-3/5tan(a+b)=1/5

tan（a+b）=tan[（a-3/π）-(3/π-B)]=[tan(a-3/π)-tan(3/π-B)]/(1+tan(a-3/π)*tan(3/π-B))=(2-2/5)/(1+2*2/5)=8/

tan2a=tan[(a+b)+(a-b)]=(2/5+1/4)/(1-2/5×1/4)=13/18tan2a=(2tana)/(1-tan²a)=13/18解方程可得tana,数据繁,有误

左边=(tana-tanb)/(-1/tana+cotb)=(tana-tanb)/(-1/tana+1/tanb)上下乘tanatanb=tanatanb(tana-tanb)/(tana-tanb

[[1]]tan(2a)=tan[(a+b)+(a-b)]=[tan(a+b)+tan(a-b)]/[1-tan(a+b)tan(a-b)]=(3+5)/(1-3×5)=8/(-14)=-4/7[[2

+π/4=a+b-(a-π/4)tan(b+π/4)=tan{a+b-(a-π/4)}={tan(a+b)-tan(a-π/4)}/{1+tan(a+b)tan(a-π/4)}=(3/4-1/2)/(

tan2a=tan[(a+b)+(a-b)]=[tan(a+b)+tan(a-b)]/[1-tan(a+b)*tan(a-b)]=(3+5)/(1-3*5)=-4/7tan2b=tan[(a+b)-(

tan(2a)=tan(a-b+a+b)=(tan(a-b)+tan(a+b))/(1-tan(a-b)tan(a+b))=(3+5)/(1-3*5)=-4/7tan(2b)=tan((a+b)-(a

根据所学公式展开后得(tanA+1)/(1-tanA)-(1-tanA)/(tanA+1).接着分别同分后同时相减就可得结果：4tanA/tan^2A-1

由公式：tanA+tanB=tan(A+B)(1-tanAtanB)可得：tan(a+b)+tan(a-b)=tan2a(1-1/10)2/5+1/4=tan2a(1-1/10)tan2a=13/18