# Math

posted by .

Eliminate the parameter in the pair of parametric equations to find the corresponding rectangular question.

x=h+ asecQ
y=k+ tanQ

• Math -

secθ = (x-h)/a
tanθ = (y-k)

since sec^2 θ = 1+tan^2 θ

(x-h)^2/a^2 = 1+(y-k)^2
or,
(x-h)^2/a^2 - (y-k)^2 = 1

which is a horizontal hyperbola centered at (h,k).

## Similar Questions

1. ### Math

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve. x = secQ Y = tanQ Would I use cos^2Q + sin^2Q = 1?
2. ### calculus

(a) Modifying the parametric equations of a unit circle, find parametric equations for the ellipse: x^2/a^2 + y^2/b^2 = 1 (b) Eliminate the parameter to find a Cartesian equation of the curve x=2sint; y=4+cost; t >(or equal to) …
3. ### Calculus..

5. Eliminate the parameter and write the corresponding rectangular equations: x=3-2sin theta and y=1+5 cos theta
4. ### precalc

a circle is formed with a center (-3,5) and a radius.of 4 write the circle as a pair of parametric equations. then show how you can eliminate the parameter to return to the rectangular form
5. ### precalc

There is a line with two rectangular pt (3, 4)&(6,-3)write this line as a pair of parametric equations then show how you can eliminate the paparameter to return to rectangular form
6. ### PRE - CALCULUS

Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations. x = 6 cos t, y = 6 sin t; 0 ≤ t ≤ 2π A. x2 - y2 = 6; -6 ≤ x ≤ 6 B. x2 - y2 = 36; -6 ≤ …
7. ### precalculus

sketch the curve represented by the parametric equations. Then eliminate and write the corresponding rectangular equation whose graph represents the curve. 10. x=t2-6 y=1/2t-1
8. ### precalculus

sketch the curve represented by the parametric equations. Then eliminate and write the corresponding rectangular equation whose graph represents the curve. x=(√t^2+2) y=t/4
9. ### precalculus

can you check my work? In exercises 10-12, sketch the curve represented by the parametric equations. Then eliminate and write the corresponding rectangular equation whose graph represents the curve. 10. x=t2-6 y=1/2t-1 answer: t=2y-6=
10. ### precalculus

sketch the curve represented by the parametric equations. Then eliminate and write the corresponding rectangular equation whose graph represents the curve. x=(√t2+2) y=t/4

More Similar Questions