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已知tan(α+π/4)=2,则tanα/tan2α=
人气:230 ℃ 时间:2020-05-27 20:08:39
解答
tan(α+π/4)
=[tanα+tan(π/4)]/[1-tanαtan(π/4)]
=[tanα+1]/[1-tanα]
=2
tanα=1/3
tanα/tan2α
=tanα/[2tanα/(1-tan^2α)]
=(1-tan^2α)/2
4/9
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