若θ∈(-3π/4,-π/4)则复数z=(sinθ-cosθ)+(sinθ+cosθ)i在复平面内对应的点在哪个象限

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若θ∈(-3π/4,-π/4)则复数z=(sinθ-cosθ)+(sinθ+cosθ)i在复平面内对应的点在哪个象限
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若θ∈(-3π/4,-π/4)则复数z=(sinθ-cosθ)+(sinθ+cosθ)i在复平面内对应的点在哪个象限
若θ∈(-3π/4,-π/4)则复数z=(sinθ-cosθ)+(sinθ+cosθ)i在复平面内对应的点在哪个象限

若θ∈(-3π/4,-π/4)则复数z=(sinθ-cosθ)+(sinθ+cosθ)i在复平面内对应的点在哪个象限
z=(sinθ-cosθ)+(sinθ+cosθ)i
=根号2sin(θ-π/4)+(根号2sin(θ+π/4))i
θ∈(-3π/4,-π/4)
θ-π/4∈(-π,-π/2)
根号2sin(θ-π/4)

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