若tanα=-1,且cosα=√2/2,则角α=__ A.α=-π/4+kπ,k∈Z B.α=π/4+2kπ,k∈Z C.α=7π/4+2kπ,k∈Z D.α=3π/4+kπ,k∈Z. 请选择正确的答案,并给出正确的解题过程.

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若tanα=-1,且cosα=√2/2,则角α=__A.α=-π/4+kπ,k∈ZB.α=π/4+2kπ,k∈ZC.α=7π/4+2kπ,k∈ZD.α=3π/4+kπ,k∈Z.请选择正确的答案,并给出

若tanα=-1,且cosα=√2/2,则角α=__ A.α=-π/4+kπ,k∈Z B.α=π/4+2kπ,k∈Z C.α=7π/4+2kπ,k∈Z D.α=3π/4+kπ,k∈Z. 请选择正确的答案,并给出正确的解题过程.
若tanα=-1,且cosα=√2/2,则角α=__ A.α=-π/4+kπ,k∈Z B.α=π/4+2kπ,k∈Z C.α=7π/4+2kπ,k∈Z D.α=3π/4+kπ,k∈Z. 请选择正确的答案,并给出正确的解题过程.

若tanα=-1,且cosα=√2/2,则角α=__ A.α=-π/4+kπ,k∈Z B.α=π/4+2kπ,k∈Z C.α=7π/4+2kπ,k∈Z D.α=3π/4+kπ,k∈Z. 请选择正确的答案,并给出正确的解题过程.

答案为C,-π/4,即7π/4满足条件,故α=7π/4+2kπ,k∈Z