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已知 (tanα+1)/(tanα-1) = - (2+√3),求锐角α的值
人气:486 ℃ 时间:2020-08-29 21:24:44
解答
(tanα+1)/(tanα-1) = - (2+√3)
(tanα+1) = - (2+√3)*(tanα-1),
(tanα+1 )= - (2+√3)*(tanα-1),
(3+√3)tanα=1+√3
tanα=(1+√3)/(3+√3)=√3/3
0<α<π/2
∴α=π/6
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