若角α,β满足-π/2

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若角α,β满足-π/2
若角α,β满足-π/2<α<π/2,-π/2<β<π/2,则2α+β的取值范围是?
我算完得（-π3/2,π3/2）,可是答案是（-π,0）
到底怎么回事?给个详细答案满意有加分!

若角α,β满足-π/2
答案错了
你算的是对的,令α=-80°
β=-80°
2α+β=-240°=-2π/3,在第二象限,也不在答案范围之内
所以推翻了（-π,0）

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