Pre calculus

posted by Meredith

in the equation r= 5/(sin theta +2cos theta) the letters r and theta represent polar coordinates. Write the equivalent equation using rectangular coordinates.

Thanks :)

  1. Reiny

    recall:
    sinØ = y/r and cosØ = x/r

    so:
    r= 5/(sin theta +2cos theta)
    r = 5/(y/r + 2x/r)
    r = 5/((2x+ y)/r)
    r = 5r/(2x + y)
    1 = 5/(2x+y)
    2x + y = 5 <----- a straight line

    proof:
    http://www.wolframalpha.com/input/?i=polar+plot+r%3D+5%2F(sin+theta+%2B2cos+theta)

Respond to this Question

First Name

Your Answer

Similar Questions

  1. Polar to Rectangular Form

    The letters r and theta represent polar coordinates. Write each equation in rectangular coordinates (x, y) form. Let t = theta (1) r = sin(t) + 1 (2) r = sin(t) - cos(t)
  2. Write in (x , y) Form

    The letters r and theta represent polar coordinates. Write each equation in rectangular coordinates (x, y) form. (1) r = 4 (2) r = 3/(3 - cos(t)), where t = theta
  3. Math ! Please Help !

    1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write …
  4. Calculus please help !

    1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write …
  5. Pre-calculus; urgent ! Please help !

    1.Graph the polar equation r=3-2sin(theta) 2. Find the polar coordinates of 6 radical 3,6 for r > 0. 3. Find the rectangular coordinates of (7, 30°). 4. Write the rectangular equation in polar form. (x – 4)2 + y2 = 16 5. Write …
  6. Calculus

    Convert the curve to an equation in rectangular coordinates: x=sin theta + 1 y=2cos theta - 1
  7. pre calculus

    in the equation (x-4)^2+y^2=16 the letters x and y represent rectangular coordinates. Write the equivalent equation using polar coordinates. solve for r
  8. pre calculus

    change the equation to rectangular coordinates: r= 2(sin theta -cos theta)
  9. Pre- calculus

    Change the equation to rectangular coordinates: r= 2(sin theta-cos theta)
  10. Pre-Calculus

    1.) Which of the following polar equations is equivalent to the parametric equations below?

More Similar Questions