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高中数学!!!

若tan2x=3tan(x-y)=3,则tan(x+y)=
被浏览: 0次 2023年04月04日 11:33
热门回答(6个)
游客1

tan2x=tan tan(x-y)=1

={tan(x+y) + tan(x-y) } / {1-tan(x+y)tan(x-y)}

=1+tan(x+y)/坦悉哗1-tan(x+y)=3
解得让行陆液 tan(x+y)=1/2

游客2

tg(2x)= tg(x+y+ x-y)=[tg(x+y)+tg(x-y)]/[1-tg(x+y)*tg(x-y)]= [tg(x+y)+1]/[1-tg(x+y)*1]=3
解塌伍春团耐得橘脊tg(x+y)+1 = 3-3tg(x+y)
tg(x+y)=1/2

游客3

tan2x=2tanx/察正昌败扒1-tanx^2

3tan(x-y)=3[tanx-tany/清御1+tanxtany]=3

tan(x-y)=[tanx-tany/1+tanxtany]=1

tan(x+y)=[tanx+tany/1-tanxtany]

所以tan(x+y)=-tan(x-y)=-1

游客4

答案是0.5

游客5

答案是1/2

游客6