Parametric Equations of a Hyperbola Eliminate the parameter 0 in the following parametric equations. x = a tan 0 y = b sec e

waigaK 2021-01-19 Answered

Parametric Equations of a Hyperbola Eliminate the parameter 0 in the following parametric equations. x=a tan 0 y=b sec e

You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Nathalie Redfern
Answered 2021-01-20 Author has 99 answers

Step 1 we have to eliminate the parameter θ in the following parametric equations: x=a tan θ
y=bsec θ
as x=a tanθ therefore, tanθ=xa (1) as y=bsecθ therefore, secθ=yb (2) Step 2 as we know that: sec2θtan2θ=1 therefore, (secθ)2(tanθ)2 (yb)2(xa)2=1 (from equation (1) and (2)) y2b2x2a2=1 therefore the equation of the hyperbola obtained after eliminating the parameter θ in the parametric equations is: y2b2x2a2=1

Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions