5 votes 5 votes $x=a \cos(t), y=b \sin(t)$ is the parametric form of Ellipse Hyperbola Circle Parabola Calculus isro2009 calculus + – go_editor asked Jun 15, 2016 go_editor 2.2k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Manoja Rajalakshmi A commented Dec 1, 2017 reply Follow Share Parametric equations: hyperbola: x= a sec t, y=b tan t parabola: x= at^2, y= 2at 0 votes 0 votes VS commented Feb 11, 2018 reply Follow Share http://bestmaths.net/online/index.php/year-levels/year-12/year-12-topic-list/parametric-equations/ 0 votes 0 votes Please log in or register to add a comment.
Best answer 8 votes 8 votes Answer A) Ellipse x=a cos t or, x2=a2cos2t or, $\frac{x^2}{a^2}$ =cos2t.......................i y=b sin t or,y2=b2sin2t or,$\frac{y^2}{b^2}$ = sin2t........................ii from i and ii $\frac{x^2}{a^2}$ +$\frac{y^2}{b^2}$ =cos2t+sin2t =1 srestha answered Jun 15, 2016 • selected Jun 25, 2016 by Arjun srestha comment Share Follow See all 0 reply Please log in or register to add a comment.