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Question

Given the parametric equations $x=17\cos(t)$ and $y=17\sin(t)$ for $t$ $\in$ $[0,2\pi]$ , graph the corresponding plane curve. What is the rectangular equation of this curve?

Accepted Answer

$x^2+y^2=289$ Graph of a circle representing parametric equations x=17cos(t) and y=17sin(t).

Answer

$x^2+y^2=289$ Graph of a smaller circle centered at the origin, representing a different parametric equation.

Answer

$x^2+y^2=289$ Graph of a hyperbola, illustrating a parametric equation with x^2 - y^2 = 289.

Answer

$x^2+y^2=289$ Graph of a hyperbola, illustrating a parametric equation with x^2 - y^2 = 17.

Given the parametric equations x=17cos(t)x=17\cos(t)x=17cos(t) and y=17sin(t)y=17\sin(t)y=17sin(t) for ttt ∈\in [0,2π][0,2\pi][0,2π], graph the corresponding plane curve. What is the rectangular equation of this curve?

Given the parametric equations $x=17\cos(t)$ and $y=17\sin(t)$ for $t$ $\in$ $[0,2\pi]$ , graph the corresponding plane curve. What is the rectangular equation of this curve?