convert the equation y^2 = 2x -x^2 into polar form.

convert the equation r = 2tan(theta) into rectangular form.

I'm not really sure what either of these mean. I vaguely understand polar coordinates, but I'm not sure how to convert equations back and forth between polar and rectangular. Please help =(

  1. 👍 0
  2. 👎 0
  3. 👁 262
  1. r = tan(θ)
    √(x² + y²) = y/x

    tan(θ) = y/x
    r = √(x² + y²)

    x² + y² = 4y²/x²
    x^4 + x²y² = 4y²
    x^4 + x²y² - 4y² = 0

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    Write the polar equation in rectangular form. r = 12 sin theta Write the rectangular equation (x + 7)^2 + y^2 = 49 in polar form

    asked by batmo on September 17, 2012
  2. Pre-Calculus HELP!

    change the polar equation r=5/1+cos(theta) to rectangular form. How do I do this? Thank you! :)

    asked by Ellie on September 6, 2015
  3. Math (Polar to Cartesian Equations)

    Convert the given polar equation to a Cartesian equation. r^2=4sec(theta)csc(theta)

    asked by Giovanni on May 30, 2016
  4. maths

    convert polar equation into rectangular equation? theta= 4pi/3. Confused kindly help

    asked by Asfand on November 25, 2016
  5. Math

    Convert theta = pi/4 to rectangular equation

    asked by Megan...very confused on February 26, 2014
  1. Math

    How to convert y^2-8x-16=0 to polar form

    asked by Tony on March 6, 2018
  2. Trig/pre-calc

    r=8cos(theta)+5sin(theta), convert the polar equation into a rectangular equation and then complete the square and determine the center radius...? Help?! I missed the section, and am not getting anywhere with the text...

    asked by A on August 12, 2011
  3. Pre-Calculus

    Which is the polar form of the parametric equations x=5cos(theta) and y=5sin(theta) ? a. r= 5(theta) b. r= 5 c. r= 25 cos (theta) sin (theta)***** d. r= 25cos^2 (theta) + 25sin^2 (theta) Which is the polar form of the parametric

    asked by Vsuf on May 22, 2018
  4. Chem 2

    Propane (C3H8) burns in oxygen to produce carbon dioxide and water vapor. The balance equation for this reaction is C3H8 + 5O2 ----> 4H20 + 3CO2. What volume of carbon dioxide id produced when 2.8 L of oxygen are consumed? Here

    asked by Katie on April 27, 2007
  5. Chem

    Nitric acid is produced commercially by the Ostwald process, represented by the following equations: 4NH3(g) + 5O2(g) > 4NO(g) + 6H2O(g) 2NO(g) + O2(g) > 2NO2 (g) 3NO2(g) + H2O(l) > 2HNO3(aq) + NO(g) What mass of NH3 must be used

    asked by Shawn on January 26, 2007
  6. Trig

    Convert the following equation from an equation using polar coordinates to an equation using rectangular coordinates: 6sinθ=r-5cosθ a.) 6y=-5x b.) x^2-6x+y^2-5y=0 c.) x^2-5x+y^2-6y=0 d.) x^2+6x+y^2+5y=0 e.) x^2+5x+y^2+6y=0 f.)

    asked by Ted on September 4, 2019

You can view more similar questions or ask a new question.