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CaHeK987 [17]
3 years ago
6

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 gi

ven 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
Mathematics
1 answer:
Dafna11 [192]3 years ago
8 0

Answer:

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)/2
  • 2Sin²t/2   ⇔   Sin²t = L.H.S (Hence Proved)
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