tan(x:2+45°)+tan(x:2-45°)=2tanx如何证明.
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tan(x:2+45°)+tan(x:2-45°)=2tanx如何证明.tan(x:2+45°)+tan(x:2-45°)=2tanx如何证明.tan(x:2+45°)+tan(x:2-45°)=2t
tan(x:2+45°)+tan(x:2-45°)=2tanx如何证明.
tan(x:2+45°)+tan(x:2-45°)=2tanx如何证明.
tan(x:2+45°)+tan(x:2-45°)=2tanx如何证明.
证明:令tanx/2=t
tan(x/2+45)=(t+1)/(1-t)
tan(x/2-45)=(t-1)/(t+1)
tan(x/2+45)+tan(x/2-45)
=[(t+1)^2+(t-1)^2]/(1-T^2)
=4t/(1-T^2)
=2tanx
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