Question

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

Answer 1

Answer:

D: $x^2+y^2 = 4$

Step-by-step explanation:

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

$x^2 = 4 cos^2t; y^2 = 4sin^2 t \\x^2 + y^2 = 4( cos^2t+sin^2t) \rightarrow x^2+y^2=4$