已知tan(α+π/4)=-1/2,π/2

问题描述:

已知tan(α+π/4)=-1/2,π/2

tan(α+π/4)=-1/2
(tanα+tanπ/4)/(1-tanαtanπ/4) = -1/2
(tanα+1)/(1-tanα) = -1/2
2tanα+2 = -1+tanα
tanα = -3
π/2