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Question

Given the parametric equations $x=4\cos(t)-4$ and $y=4\sin(t)+4$ for $t$ $\in$ $[0, 2π]$ , graph the corresponding curve. What is the rectangular equation of this curve?

Accepted Answer

Graph of parametric equations showing a blue circle centered at (4, 4).

${(x + 4)}^{2} + {(y - 4)}^{2} = 16$

Answer

Graph of parametric equations showing a blue circle centered at (4, 4).

${(x + 4)}^{2} + {(y - 4)}^{2} = 16$

Answer

Graph of parametric equations showing a blue circle centered at (4, 4).

${(x + 4)}^{2} + {(y - 4)}^{2} = 16$

Answer

Graph of parametric equations showing a blue circle centered at (4, 4).

${(x + 4)}^{2} + {(y - 4)}^{2} = 16$

Given the parametric equations x=4cos(t)−4x=4\cos(t)-4x=4cos(t)−4 and y=4sin(t)+4y=4\sin(t)+4y=4sin(t)+4 for ttt ∈\in [0,2π][0, 2π][0,2π], graph the corresponding curve. What is the rectangular equation of this curve?

Given the parametric equations $x=4\cos(t)-4$ and $y=4\sin(t)+4$ for $t$ $\in$ $[0, 2π]$ , graph the corresponding curve. What is the rectangular equation of this curve?