given-the-parametric-equations-x5costx5cost-and-y2sinty2sint-for-tt-in-the-inter

Question

Given the parametric equations ﻿x=5cos⁡(t)x=5\cos(t)x=5cos(t)﻿ and ﻿y=2sin⁡(t)y=2\sin(t)y=2sin(t)﻿ for ﻿ttt﻿ ∈\in ﻿[0,2π][0,2\pi][0,2π]﻿, graph the corresponding plane curve. What is the rectangular equation of this curve?

Accepted Answer

﻿x225+y24=1\frac{$$x^2$$}{25}+\frac{$$y^2$$}{4}=125x2​+4y2​=1﻿

Answer

﻿x24−y225=1\frac{$$x^2$$}{4}-\frac{$$y^2$$}{25}=14x2​−25y2​=1﻿

Answer

﻿x225−y24=1\frac{$$x^2$$}{25}-\frac{$$y^2$$}{4}=125x2​−4y2​=1﻿

Answer

﻿x24+y225=1\frac{$$x^2$$}{4}+\frac{$$y^2$$}{25}=14x2​+25y2​=1﻿

Given the parametric equations x=5cos(t)x=5\(\cos\)(t)x=5cos(t) and y=2sin(t)y=2\(\sin\)(t)y=2sin(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=5\(\cos\)(t)$ and $y=2\(\sin\)(t)$ for $t$ $\in$ $[0,2\(\pi\)]$ , graph the corresponding plane curve. What is the rectangular equation of this curve?