若tan (x+π/4)=2007 1+cos (2x)/cos (2x) + tan 2x 的值答案2008
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若tan (x+π/4)=2007 1+cos (2x)/cos (2x) + tan 2x 的值答案2008
若tan (x+π/4)=2007 1+cos (2x)/cos (2x) + tan 2x 的值
答案2008
若tan (x+π/4)=2007 1+cos (2x)/cos (2x) + tan 2x 的值答案2008
tan(x+pi/4)=tanx+tanpi/4
——————
1-tanx ·tanpi/4
tanx=1003/1004
1-tan2(x)
cos2x=——————
1+tan2(x)
2tanx
tan2x=——————
1-tan2(x)
所求式子={1+((1-tg2(x))/(1+tg2(x))}/[1-tg2(x)]/[1+tg2(x)]+2tgx/(1-tg2(x))
=2/(1-tg2(x))+2tgx/(1-tg2(x))
=2(1+tgx)/(1-tg2(x))
=2/(1-tgx)
=2/1/1004
=2008
tan( x/2+π/4)+tan(x/2-π/4 )=2tanxtan(x/2+π/4)+tan(x/2-π/4)=[tan(x/2)+tan(π/4)]/[1-tan(x/2)tan(π/4)]+[tan(x/2)-tan(π/4)]/[1+tan(x/2)tan(π/4)]=[tan(x/2)+1]/[1-tan(x/2)]+[tan(x/2)-1]/[1+tan(x/2)]=[(tan(x/2)+1)^2-(tan(x/2)-1)^2]/[1-(tan(x
这道题为什么第二步的+到了第三步变成了-1.tan(x/2+π/4)+tan(x/2-π/4)=[tan(x/2)+tan(π/4)]/[1-tan(x/2)tan(π/4)]+[tan(x/2)-tan(π/4)]/[1+tan(x/2)tan(π/4)]=[tan(x/2)+1]/[1-tan(x/2)]+[tan(x/2)-1]/[1+tan(x/2)]=[(tan(x/2)+1)^2-(tan(x/2)-
若tan(π-α)=1/3,则tan(x+π/4)等于多少,
若tan (x+π/4)=2007 1+cos (2x)/cos (2x) + tan 2x 的值答案2008
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