若(4tanα+1)(1-4tanβ)=17,则tan(α-β)的值为?

2025-06-29 03:33:31
推荐回答(1个)
回答1:

(4tanα+1)(1-4tanβ)=17 ==> 1-16tanαtanβ+4(tanα-tanβ)=17
==> 4(tanα-tanβ)=16(1+tanαtanβ) ==> t(anα-tanβ)/(1+tanαtanβ)=4
==> tan(α-β)=4