determine-the-set-of-parametric-equations-for-the-hyperbola-with-vertices-at-5-0

Question

Determine the set of parametric equations for the hyperbola with vertices at ﻿(5,0)(5, 0)(5,0)﻿ and ﻿(−5,0)(-5, 0)(−5,0)﻿, and foci at ﻿(8,0)(8, 0)(8,0)﻿ and ﻿(−8,0)(-8, 0)(−8,0)﻿.

Accepted Answer

﻿x=5sec⁡(t),y=39tan⁡(t)x=5\sec(t),y=\sqrt{39}	an(t)x=5sec(t),y=39​tan(t)﻿

Answer

﻿x=39sec⁡(t),y=5tan⁡(t)x=\sqrt{39}\sec(t),y=5	an(t)x=39​sec(t),y=5tan(t)﻿

Answer

﻿x=8sec⁡(t),y=5tan⁡(t)x = 8\sec(t), y = 5	an(t)x=8sec(t),y=5tan(t)﻿

Answer

﻿x=5tan⁡(t),y=39sec⁡(t)x=5	an(t),y=\sqrt{39}\sec(t)x=5tan(t),y=39​sec(t)﻿