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18-11-2021
Mathematics

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Eliminate the parameter, t, in the parametric equations, x = 2cos(t) and y = 2sin(t).

A) 4 x2 + 4 y2 = 4
B) x2 + y2 = 2
C) 2 x2 + 2 y2 = 4
D) x2 + y2 = 4

Respuesta :

18-11-2021

Answer:

D: [tex]x^2+y^2 = 4[/tex]

Step-by-step explanation:

Square each one, and add them together. Then collect 4 from both.

[tex]x^2 = 4 cos^2t; y^2 = 4sin^2 t \\x^2 + y^2 = 4( cos^2t+sin^2t) \rightarrow x^2+y^2=4[/tex]

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