y=-xtanα+5,α∈(π/2,π)的倾斜角是?
2个回答
设直线y=-xtanα+5的倾斜角为θ
∵直线的斜率k=-tanα
∴tanθ=-tanα=tan(π-α)
∵α∈(π/2,π)
∴π-α∈(0,π/2)
∴θ=π-α
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