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1. socratic.org › converting-coordinates-from-rectangular-to-polarConverting Coordinates from Rectangular to Polar - Socratic

   socratic.org › converting-coordinates-from-rectangular-to-polar

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   Converting Equations from Polar to Rectangular. Finding Distance Between Polar Coordinates. Rose Curves.

2. socratic.org › polar-coordinates › converting-equations-from-polar-to-rectangularConverting Equations from Polar to Rectangular - Socratic

   socratic.org › polar-coordinates › converting-equations-from-polar-to-rectangular

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   Polar coordinates are a complementary system to Cartesian coordinates, which are located by moving across an x-axis and up and down the y-axis in a rectangular fashion. While Cartesian coordinates are written as (x,y), polar coordinates are written as (r,θ).

3. socratic.org › questions › how-do-you-convert-rectangular-coordinates-to-polarHow do you convert rectangular coordinates to polar coordinates?

   socratic.org › questions › how-do-you-convert-rectangular-coordinates-to-polar

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   Dec 1, 2014 · To convert from polar to rectangular: x=rcos theta y=rsin theta To convert from rectangular to polar: r^2=x^2+y^2 tan theta= y/x This is where these equations come from: Basically, if you are given an (r,theta) -a polar coordinate- , you can plug your r and theta into your equation for x=rcos theta and y=rsin theta to get your (x,y). The same holds true for if you are given an (x,y)-a rectangular coordinate- instead. You can solve for r in r^2=x^2+y^2 to get r=sqrt(x^2+y^2) and solve for ...

4. socratic.org › converting-coordinates-from-polar-to-rectangularConverting Coordinates from Polar to Rectangular - Socratic

   socratic.org › converting-coordinates-from-polar-to-rectangular

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   There may be many ways to visualize the conversion of Polar to Rectangular coordinates. Sometimes (depending upon the values of #r# or #theta#) it is easier or faster to see this conversion graphically or in some other form, but in the end it comes back to the relationship between #x, y, r, and theta# as defined by the trigonometric functions.

5. socratic.org › questions › how-do-you-convert-r-tan-to-rectangular-formHow do you convert r= tan θ to rectangular form? | Socratic

   socratic.org › questions › how-do-you-convert-r-tan-to-rectangular-form

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   Aug 26, 2016 · Here, the conversion gives. #sqrt(x^2+y^2) =y/x# or explicitly, after solving for y, #y =+-x^2/sqrt(1-x^2)# and for real #y, x in (-1. 1)# Not to miss is my observation that the periodicity characteristic of . #tan theta, theta#, with period #pi#, for #theta in ( -oo, oo )# in polar . form #r = tan theta# is not explicit in the Cartesian form

6. socratic.org › trigonometry › the-polar-systemConverting Between Systems - Trigonometry - Socratic

   socratic.org › trigonometry › the-polar-system

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   To convert from polar to rectangular: #x=rcos theta # #y=rsin theta# To convert from rectangular to polar: #r^2=x^2+y^2# #tan theta= y/x# This is where these equations come from: Basically, if you are given an #(r,theta)#-a polar coordinate- , you can plug your #r# and #theta# into your equation for #x=rcos theta # and #y=rsin theta# to get ...

7. socratic.org › questions › how-do-you-write-the-equation-x-9-into-polar-formHow do you write the equation x=-9 into polar form? - Socratic

   socratic.org › questions › how-do-you-write-the-equation-x-9-into-polar-form

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   Jan 10, 2018 · r=-9sectheta for polar/rectangular conversion r^2=x^2+y^2 x=rcostheta y=rsintheta for x=-9 rcostheta=-9 r=-9/costheta r=-9sectheta

8. socratic.org › questions › how-do-you-convert-x-2-y-2-4y-to-polar-formHow do you convert x^2 + y^2 = 4y to polar form? - Socratic

   socratic.org › questions › how-do-you-convert-x-2-y-2-4y-to-polar-form

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   Apr 22, 2018 · The polar equation is r=4sintheta Apply the following to convert from rectangular coordinates (x,y) to ...

9. socratic.org › questions › how-do-you-convert-4-0-into-polar-formHow do you convert (4, 0) into polar form? - Socratic

   socratic.org › questions › how-do-you-convert-4-0-into-polar-form

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   Sep 29, 2016 · In rectangular coordinates, (x,y) represents the x and y position of the point in the plane. In polar coordinates, it is represented by (r, #theta#), where r is the distance from the origin and #theta# is the counterclockwise angle in radians. The conversion from rectangular to polar can be achieved by the formulas: #r^2 = x^2+y^2#

10. socratic.org › questions › how-do-you-convert-r-1-cos-theta-into-rectangular-formHow do you convert r = 1 + cos (theta) into rectangular form?

    socratic.org › questions › how-do-you-convert-r-1-cos-theta-into-rectangular-form

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    Jul 5, 2017 · Which is our polar equation in rectangular form. NB: This is the equation of the cardioid below. graph{ x ...