How do i write parametric equations?
in Trigonometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

x=f(t), y=g(t), z=h(t), etc., where f, g and h are (usually different) functions of t, where t is the parameter. There can be as many variables (x, y, z, etc.) as necessary representing multidimensional space. 3 is usually the maximum and 2 the minimum number of variables. Because each variable can be expressed in terms of a common variable t, it is possible to find, for example, an equation between y and x by eliminating t between their parametric equations. For example, if y=t+1 and x=t^2-1, t=y-1 and this can be substituted in the second equation to relate x and y: x=(y-1)^2-1=y^2-2y. So y^2-2y-x=0 can be plotted as a graph. Also, dy/dx can be found by calculating dy/dt and dx/dt and then dividing one by the other: dy/dx=(dy/dx)/(dx/dt). (x,y) would be represented by (t^2-1,t+1). Sometimes it's easier and less complicated to express parametrically than to express, say, y in terms of x.

by Top Rated User (815k points)

Related questions

0 answers
asked Apr 26, 2013 in Calculus Answers by anonymous | 546 views
0 answers
asked Sep 8, 2012 in Algebra 2 Answers by richardt662000 Level 1 User (120 points) | 761 views
1 answer
asked Jul 25, 2013 in Other Math Topics by nawaz | 229 views
1 answer
asked Feb 14, 2013 in Geometry Answers by anonymous | 207 views
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,993 questions
91,890 answers
2,229 comments
23,907 users