Math - Vector Geometry

what is the cartesian equation of the parametric equations

x=2sin(2t) and y=4cos(2t)

need help badly!!!!!!!

  1. 👍 0
  2. 👎 0
  3. 👁 56
asked by Will
  1. You have to solve each for t, and then equate those results

    1) x=2sin(2t)
    x/2 = sin(2t)
    2t = arcsin(x/2)
    t = (1/2)arcsin(x/2)

    2)

    t = (1/2)arccos(y/4)

    so arcsin(x/2) = arccos(y/4)

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    a) Find a Cartesian equation relating and corresponding to the parametric equations: x=2sin(3t), y=9cos(3t). Write your answer in the form P(x,y)=0, where P(x,y) is a polynomial in x and y, such that the coefficient of y^2 is 4.

    asked by Allison on March 12, 2011
  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) 0

    asked by Anna on August 8, 2011
  3. Math: Parametric Equations

    The graph of the parametric equations x=cos(t) y=sin(t) meets the graph of the parametric equations x=2+4cos(s) y=3+4sin(s) at two points. Find the slope of the line between these two points. So far I've set up the system of

    asked by Katie on April 10, 2016
  4. Precalculus

    Find the sum of all possible values of the constant k such that the graph of the parametric equations x=2+4cos(s) and y=k-4sin(s) intersects the graph of the parametric equations x=1+cos(t) and y=-3+sin(t) at only one point.

    asked by John on February 28, 2014
  5. Precalculus

    Find the sum of all possible values of the constant k such that the graph of the parametric equations x=2+4cos(s) and y=k-4sin(s) intersects the graph of the parametric equations x=1+cos(t) and y=-3+sin(t) at only one point.

    asked by John on March 2, 2014
  6. Mathematics

    Parametric Equations x = 9s^2 - 1 y = 1 - 8s^3 Find the cartesian equation?

    asked by Tony on March 2, 2016
  7. Calculus

    Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x=4cos(t) y=4sin(t) z= 10cos(2t) (2sqrt2,2sqrt2,0)

    asked by Mike on April 20, 2010
  8. Math

    The graph of the parametric equations x=cos(t) y=sin(t) meets the graph of the parametric equations x=2+4cos(s) y=3+4sin(s) at two points. Find the slope of the line between these two points. Please help!!!! I need this done soon

    asked by Sultan on July 30, 2016
  9. Precalculus

    The graph of the parametric equations x=cos(t), y=sin(t) meets the graph of the parametric equations x=2+4cos(s), y=3+4sin(s), at two points. Find the slope of the line between these two points.

    asked by Phil on April 9, 2016
  10. Calculus

    Find the area under one arch of a cycloid describe by the parametric equations x=3(2Theta - sin 2Theta) and y= 3(1-cos2Theta). Use 0 and pi for the limiting values of Theta. A. 9Pi B. 18Pi C. 27Pi D. 36Pi Find the area in the

    asked by Anonymous on August 7, 2012

More Similar Questions