Исключите переменную а из системы
[tex]\displaystyle \left \{ {{x=\sin \alpha+\cos \alpha} \atop {y=\sin \alpha\cdot\cos \alpha}} \right. [/tex]
[tex]\displaystyle \left \{ {{x=\sin \alpha+\cos \alpha} \atop {y=\sin \alpha\cdot\cos \alpha}} \right. [/tex]
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Verified answer
X²=sin²a+cos²a+2sinacosax²=1+2sinacosa
sinacosa=(x²-1)/2
y=(x²-1)/2
2y=x²-1
x²=2y+1
Verified answer