已知 |cosα| = - cosα,且tanα

问题描述:

已知 |cosα| = - cosα,且tanα

∵|cosα|=-cosα,
∴cosα≤0
又:tanα<0
∴2nπ-π/2≤α<2nπ,2nπ+π/2≤α<2nπ+π,
当2nπ-π/2≤α<2nπ时,sinα<0,sinα*tanα>0;
当2nπ+π/2≤α<2nπ+π时,sinα>0,sinα*tanα<0.