(1+2*sinβ*cosβ)/(cosβ+sinβ)²=(sin²β+cos²β+2*sinβ*cosβ)/(sinβ+cosβ)²=
=(sin²β+2*sinβ*cosβ+cos²β)/(sinβ+cosβ)²=(sinβ+cosβ)²/(sinβ+cosβ)²=1.
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(1+2*sinβ*cosβ)/(cosβ+sinβ)²=(sin²β+cos²β+2*sinβ*cosβ)/(sinβ+cosβ)²=
=(sin²β+2*sinβ*cosβ+cos²β)/(sinβ+cosβ)²=(sinβ+cosβ)²/(sinβ+cosβ)²=1.