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AleOfficial101
18.06.2021 •
Mathematics
A curve is given by the parametric equations x = cos 2t * a * n * d * y = sin t , then the cartesian equation of the curve is given by: a x = y ^ 2 + 1; y ^ 2 = (1 - x)/2; x ^ 2 + y ^ 2 = 1; x ^ 2 = (1 - y)/2; y ^ 2 = x + 1 d e
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Ответ:
Y² = (1-X) / 2
Step-by-step explanation:
According To The Question, We Have
X= Cos2t & Y= Sint
the cartesian equation of the curve is given by Y² = (1-X) / 2 .
Proof, Put The Value of X & Y in Cartesian Equation, We get
Sin²t = {1-(1-2×Sin²t)} / 2 [∴ Cos2t = 1 - 2×Sin²t]
Taking R.H.S
(1-1+2×Sin²t)/22Sin²t/2 ⇔ Sin²t = L.H.S (Hence Proved)Ответ:
(y-2)(3x^2-2)
Step-by-step explanation: