Rectangular equation to polar equation calculator

Apr 7, 2023 · Polar to Rectangular Coordinates – Formula. The polar to Rectangular Coordinates formula is a grid conversion tool that allows users to convert a polar coordinate to a rectangular coordinate. This is an excellent tool for students in math classes learning about these systems. To convert from polar to rectangular coordinates, use the following ...

Rectangular equation to polar equation calculator. Build a new widget. x coordinate. y coordinate. Submit. Get the free "cartesian to polar coordinates" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.

In the following graph, the real axis is horizontal, and the imaginary ( \displaystyle {j}=\sqrt { {- {1}}} j = −1) axis is vertical, as usual. Point P represents a complex number. Things to do Choose whether your angles will be in degrees or radians first.

Displays polar equations on a graph. Example for use is given. Get the free "Polar Graphs" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.Trigonometry. PLIX - Play, Learn, Interact and Xplore a concept with PLIX. Trigonometry is primarily the study of the relationships between triangle sides and angles. These concepts are also extended into angles defined by a unit circle, and into applications of angle analysis.If you've ever borrowed money from the bank or purchased a bond from a company, then you are familiar with the idea of rates of interest, which can also be the rate of return, depending on which side of the lending equation you are on. Most...Trigonometry. PLIX - Play, Learn, Interact and Xplore a concept with PLIX. Trigonometry is primarily the study of the relationships between triangle sides and angles. These concepts are also extended into angles defined by a unit circle, and into applications of angle analysis.How to convert between polar equations and rectangular (Cartesian) equations, PreCalculus. Converting between Polar and Rectangular Equations. Related Topics: More Lessons for PreCalculus ... Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and …Convert the polar equation to rectangular and the rectangular equation to polar: a) r = cos theta b) 2y = x + 1; Convert the rectangular equation to polar form with r as a function of \theta. x^2 = 4y; Convert the rectangular equation to polar form. Assume a is …

The equation of the circle can be transformed into rectangular coordinates using the coordinate transformation formulas in Equation \ref{eq1}. Example \(\PageIndex{4}\) gives some more examples of functions for transforming from polar to rectangular coordinates.Use the formulas in Step 2 to convert the rectangular equation 3x-2y=7 into polar form. Try this example to learn how the process works. Substitute x= rcos θ and y=rsin θ into the equation 3x-2y=7 to get (3 rcos θ- 2 rsin θ)=7. Factor out the r from the equation in Step 4 and the equation becomes r (3cos θ -2sin θ)=7.A polar to rectangular equation calculator helps in converting a polar equation into its equivalent rectangular equation. Polar equations are expressed in terms of angles (θ) and distances (r) from the origin. The calculator allows you to input the polar equation and performs the conversion, providing the corresponding rectangular equation.We now use the formulas giving the relationship between polar and rectangular coordinates: R 2 = x 2 + y 2, y = R sin t and x = R cos t: 2 ( R 2 ) - R cos t + R sin t = 0 Factor out R R ( 2 R - cos t + sin t ) = 0 The above equation gives: R = 0 or 2 R - cos t + sin t = 0 The equation R = 0 is the pole.For convert point (4, -3) to polar coordinates, or convert 5 angle 170 to rectangular form? ... Or calculate the angle in degrees, and then convert that to ...

y = 8 Explanation: The relation between polar coordinates (r,θ) and rectangular Cartesian coordinates (x,y) ... How do you convert r = 2cscθ into cartesian form? y = 2 Explanation: When converting between polar and rectangular coordinates, we can use the following equalities: { r2 = x2 +y2 tan(θ)= xy ... What is the rectangular form of r ... x = r ⋅ cos(θ) y = r ⋅ sin(θ) You have to remember that your equation may need some algebraic/trigonometric manipulations before being transformed into rectangular form; for example, consider: r[ − 2sin(θ) +3cos(θ)] = 2. −2rsin(θ) +3rcos(θ) = 2. Now you use the above transformations, and get: −2y + 3x = 2. Which is the equation ...Convert to Rectangular Coordinates (r,x) (r,x) ( r, x) Use the conversion formulas to convert from polar coordinates to rectangular coordinates. x = rcosθ x = r c o s θ. y = rsinθ y = r s i n θ. Substitute in the known values of r = r r = r and θ = x θ = x into the formulas. x = (r)cos(x) x = ( r) cos ( x)Precalculus : Convert Polar Equations To Rectangular Form and vice versa Study concepts, example questions & explanations for Precalculus. Create An Account Create Tests & Flashcards. All Precalculus Resources . 12 Diagnostic Tests 380 Practice Tests Question of the Day Flashcards Learn by Concept.

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Calculate the area of a rectangular room by measuring the length of the room and the width of the room, and then multiply the numbers together to determine the room’s area. This method works for any units desired, such as inches, feet or me...Please see the instructions below for polar and rectangular conversions on the TI-36X Pro: Example: Polar to Rectangular. Convert the polar coordinates (5,30) to rectangular. 1) Input 5 and press [2nd] [complex] 2) Select 1: Ð and press [enter] 3) Input 30. 4) Press [enter] The answer displayed is: 4.33 + 2.50i. Example: Rectangular to Polar.The formulae for converting between polar and Cartesian coordinates are as follows: Converting from Polar to Cartesian Coordinates: x = r * cos (θ) y = r * sin (θ) Converting from Cartesian to Polar Coordinates: r = √ (x² + y²) θ = atan2 (y, x) Where: (x, y): Cartesian coordinates representing the point’s position on the plane.Mar 27, 2022 · A polar system can be useful. However, it will often be the case that there are one or more equations that need to be converted from rectangular to polar form. To write a rectangular equation in polar form, the conversion equations of x = r cos θ x = r cos θ and y = r sin θ y = r sin θ are used. If the graph of the polar equation is the ... Please follow the below steps to convert rectangular to polar coordinates: Step 1: Enter the rectangular coordinates (x,y) in the given input boxes. Step 2: Click on the "Calculate" button to convert rectangular to polar coordinates. Step 3: Click on the "Reset" button to clear the fields and enter the different values.We can then use a graphing calculator to graph either the rectangular form or the polar form of the equation. How to: Given an equation in polar form, graph it …

We remember that the rectangular coordinates are written in the form (x, y) (x,y) and the polar coordinates are written in the form (r, \theta) (r,θ), where r is the distance from the origin to the point and θ is the angle formed between the line and the x -axis. These coordinates are related using trigonometry. Using the right triangle, we ...Jul 26, 2023 · The relationship between polar and Cartesian coordinates is given by the formulas: x = r * cos (θ) and y = r * sin (θ). Polar coordinates (r, θ) represent a point’s distance and angle from the origin, while Cartesian coordinates (x, y) represent the point’s location on the XY-plane. Build a new widget. x coordinate. y coordinate. Submit. Get the free "cartesian to polar coordinates" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.Since there are a number of polar equations that cannot be expressed clearly in Cartesian form, and vice versa, we can use the same procedures we used to convert points between the coordinate systems. We can then use a graphing calculator to graph either the rectangular form or the polar form of the equation.Calculate the area of a rectangular room by measuring the length of the room and the width of the room, and then multiply the numbers together to determine the room’s area. This method works for any units desired, such as inches, feet or me...Since there are a number of polar equations that cannot be expressed clearly in Cartesian form, and vice versa, we can use the same procedures we used to convert points between the coordinate systems. We can then use a graphing calculator to graph either the rectangular form or the polar form of the equation.You’ll find that any polar equation in this form will be a circle with center at (0,a). (We’ll talk more about this later.) Example 9 Transforming an equation from Rectangular to Polar Form 4xy = 9 Remember, x = rcosθand y = rsinθ 4(rcosθ)(rsinθ) = 9 4r2cosθsinθ= 9 When you see sinθand cosθmultiplied together this should remind you thatAnd rcos θ = a is a vertical line going through the rectangular coordinate point (a,0). Page 5. GRAPING POLAR EQUATIONS USING A GRAPHING. CALCULATOR. For the TI ...Convert rectangular to polar two dimensional coordinates using a calculator. The rectangular coordinates (x,y) and polar coordinates (R,t) are related as follows. y = R sin t and x = R cos t. R2 = x2 + y2 and tan t = y/x. The calculator finds R using R = sqrt (x 2 + y 2 ). Then finds the quadrant using the signs of x and y and solve any of the ...Points in the polar coordinate system with pole O and polar axis L.In green, the point with radial coordinate 3 and angular coordinate 60 degrees or (3, 60°). In blue, the point (4, 210°). In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point …

From the equations of the polar to Cartesian calculations you can easily see the close relationship between polar coordinates and trigonometry. Now you know how to convert polar coordinates both from and to Cartesian coordinates: our calculator will do it in no time, but it's better to know the math before the calculations!

For the following exercises, convert the rectangular equation to polar form and sketch its graph. 161. 3x - y = 2 162 . y2 = 4x For the following exercises, convert the polar equation to rectangular form and sketch its graph. 163. r = 4 sin e 164.r = 6 cos 0 165. r = 0 166. r = cot csc @ For the following exercises, sketch a graph of the polar equation and identify any symmetry, 167. r = 1 ...Build a new widget. x coordinate. y coordinate. Submit. Get the free "cartesian to polar coordinates" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.Note: Calculators may give the wrong value of tan-1 () when x or y are negative ... see below for more. To Convert from Polar to Cartesian. When we know a point in Polar Coordinates (r, θ), and we want it in Cartesian Coordinates (x,y) we solve a right triangle with a known long side and angle:Free Cartesian to Polar calculator - convert cartesian coordinates to polar step by step ... Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums ... Rectangular Pyramid. Volume & Height; Surface Area; Base; Conic Sections ...For the following exercises, graph the conic given in polar form. If it is a parabola, label the vertex, focus, and directrix. If it is an ellipse or a hyperbola, label the vertices and foci. r = 3 1 − sin θ. Show Solution. r = 8 4 + 3 sin θ. r = 10 4 + 5 cos θ. Show Solution. r = 9 3 − 6 cos θ.Polar and Rectangular Coordinates. The relationships between rectangular coordinates (x , y) and polar coordinates (R , t), using the figure below, are as follows: y = R sin t and x = R cos t. R2 = x2 + y2 and tan t = y / x. where the quadrant of angle t is determined by the signs of x and y. Figure 1. polar and rectangular coordinates of a ...Get the free "Convert Complex Numbers to Polar Form" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha.Since there are a number of polar equations that cannot be expressed clearly in Cartesian form, and vice versa, we can use the same procedures we used to convert points between the coordinate systems. We can then use a graphing calculator to graph either the rectangular form or the polar form of the equation.

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y = 8 Explanation: The relation between polar coordinates (r,θ) and rectangular Cartesian coordinates (x,y) ... How do you convert r = 2cscθ into cartesian form? y = 2 Explanation: When converting between polar and rectangular coordinates, we can use the following equalities: { r2 = x2 +y2 tan(θ)= xy ... What is the rectangular form of r ... A rectangular to polar equation calculator is an online calculator that converts two-dimensional rectangular coordinates into polar coordinates. This …Keisan English website (keisan.casio.com) was closed on Wednesday, September 20, 2023. Thank you for using our service for many years. Please note that all registered data will be deleted following the closure of this site.Summary: to convert from Cartesian Coordinates (x,y) to Polar Coordinates (r,θ): · r = √ ( x2 + y2 ) · θ = tan-1 ( y / x ).Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.We can then use a graphing calculator to graph either the rectangular form or the polar form of the equation. How to: Given an equation in polar form, graph it using a graphing calculator ... We have also transformed polar equations to rectangular equations and vice versa. Now we will demonstrate that their graphs, while drawn on different ...Feb 5, 2022 ... Is there a way to calculate a system of equations containing both rectangular and polar coordinates on a TI-84 Plus CE? · More posts you may like.So on the rectangular coordinate system, this is a circle with center (0,2) and radius = 2. On the polar grid, rectangular coordinate (0,2) translates to (2, π/2). Notice that the original polar form of the equation was r = 4sinθ and the center of the circle in rectangular coordinates is (0,2). Another way to write this equation is r ...polar to cartesian equation. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…Convert to Rectangular x=t^2 , y=t^9. x = t2 x = t 2 , y = t9 y = t 9. Set up the parametric equation for x(t) x ( t) to solve the equation for t t. x = t2 x = t 2. Rewrite the equation as t2 = x t 2 = x. t2 = x t 2 = x. Take the specified root of both sides of the equation to eliminate the exponent on the left side. t = ±√x t = ± x.Polar to Rectangular. Convert from polar form with magnitude and angle in degrees to rectangular (real and imaginary) in numerical form. Get the free "Polar to Rectangular" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in Wolfram|Alpha. Trigonometry Examples. (0,−5) ( 0, - 5) Convert from rectangular coordinates (x,y) ( x, y) to polar coordinates (r,θ) ( r, θ) using the conversion formulas. r = √x2 +y2 r = x 2 + y 2. θ = tan−1 (y x) θ = t a n - 1 ( y x) Replace x x and y y with the actual values. r = √(0)2 +(−5)2 r = ( 0) 2 + ( - 5) 2. θ = tan−1 (y x) θ = t a ... ….

Example: Given a polar equation r = 2sin(θ), the polar to rectangular equation conversion yields the rectangular equation y = 2x. Polar Equation to Rectangular Equation Calculator: A polar equation to rectangular equation calculator serves the same purpose as the previous calculator but with a different name. It allows you to input a polar ...Example \(\PageIndex{6}\) Sketch a graph of the polar equation \(r = 3\). Solution. Recall that when a variable does not show up in the equation, it is saying that it does not matter what value that variable has; the output for the equation will remain the same. For example, the Cartesian equation \(y = 3\) describes all the points where \(y = 3\), no matter what …Exercise 5.4.1 5.4. 1. Since a point with polar coordinates (r, θ) ( r, θ) must lie on a circle of radius r with center at the pole, it is reasonable to locate points on a grid of concentric circles and rays whose initial point is at the pole as shown in Figure 5.4.3 5.4. 3. r2(cos2(θ) + sin2(θ)) = 9. Because we know that cos2(θ) + sin2(θ) = 1. this gives r2 = 9 and hence r = 3. Answer link. Use the substitutions x = rcos (theta) and y = rsin (theta) Use the substitutions x = rcos (theta) and y = rsin (theta) Then the equation becomes r^2cos^2 (theta) + r^2sin^2 (theta) = 9 r^2 (cos^2 (theta) + sin^2 (theta ...All you have to do is enter polar coordinates i.e radius and angle in the input fields and tap on the calculate button of the Polar to Rectangular Calculator to obtain the rectangular coordinates i.e x and y in no time. Polar to Rectangular Calculator Enter the Polar Coordinates. r coordinate =. θ coordinate =. Calculate.The formulae for converting between polar and Cartesian coordinates are as follows: Converting from Polar to Cartesian Coordinates: x = r * cos (θ) y = r * sin (θ) Converting from Cartesian to Polar Coordinates: r = √ (x² + y²) θ = atan2 (y, x) Where: (x, y): Cartesian coordinates representing the point’s position on the plane.y = 8 Explanation: The relation between polar coordinates (r,θ) and rectangular Cartesian coordinates (x,y) ... How do you convert r = 2cscθ into cartesian form? y = 2 Explanation: When converting between polar and rectangular coordinates, we can use the following equalities: { r2 = x2 +y2 tan(θ)= xy ... What is the rectangular form of r ...Jan 2, 2021 · Figure 8.3.13 8.3. 13: (a) Cartesian form x2 +y2 = 6y x 2 + y 2 = 6 y (b) polar form r = 6 sin θ r = 6 sin θ. The Cartesian or rectangular equation is plotted on the rectangular grid, and the polar equation is plotted on the polar grid. Clearly, the graphs are identical. Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Rectangular equation to polar equation calculator, For the following exercises, graph the conic given in polar form. If it is a parabola, label the vertex, focus, and directrix. If it is an ellipse or a hyperbola, label the vertices and foci. r = 3 1 − sin θ. Show Solution. r = 8 4 + 3 sin θ. r = 10 4 + 5 cos θ. Show Solution. r = 9 3 − 6 cos θ. , Answer link. r=9cotthetacsctheta The conversion from Rectangular to Polar: x=rcostheta y=rsintheta Substitute for x and y: (rsintheta)^2=9 (rcostheta) r^2sin^2theta=9rcostheta r^2sin^2theta-9rcostheta=0 r (rsin^2theta-9costheta)=0 At this point either r=0 or rsin^2theta-9costheta=0, let's solve the second one to get a …, 本文介绍了如何在windows和苹果电脑上安装和使用Discord/BetterDiscord/Translator插件,以及如何设置翻译消息。提供了详细的下载地址和截图,适合想要提高Discord使用体验的用户。, This is exactly the same process that we followed in Introduction to Parametric Equations and Polar Coordinates to convert from polar coordinates to two-dimensional rectangular ... To find the equation in rectangular coordinates, use equation \(φ=\arccos(\dfrac{z}{\sqrt{x^2+y^2+z^2 ... Calculate the pressure in a conical water tank., Figure 6.4.6 6.4. 6. We use the term modulus to represent the absolute value of a complex number, or the distance from the origin to the point (x, y) ( x, y). The modulus, then, is the same as r r, the radius in polar form. We use θ θ to indicate the angle of direction (just as with polar coordinates)., Rectangular Coordinate System – Any ordered pair that can be written in the form of ( , ) where x is the horizontal component and y is the vertical component of the point. x=r cos θ and y=r sin θ Converting from Polar to Rectangular Coordinates: Example: Find the Rectangular Coordinates for the point that has Polar oordinates (2,60 ..., The circle in blue has a center at 90∘ and has a diameter of 2. Its equation is. r = 2cos(θ − 90 ∘). The red ellipse appears to have center at (2, 0) with a=4 and c=2. This means the eccentricity is e = 1 2. In order to write the equation in polar form you still need to find k. k = a2 c − c = 42 2 − 2 = 8 − 2 = 6., Keisan English website (keisan.casio.com) was closed on Wednesday, September 20, 2023. Thank you for using our service for many years. Please note that all registered data will be deleted following the closure of this site., We can then use a graphing calculator to graph either the rectangular form or the polar form of the equation. How to: Given an equation in polar form, graph it using a graphing calculator ... We have also transformed polar equations to rectangular equations and vice versa. Now we will demonstrate that their graphs, while drawn on different ..., Use the conversion formulas to convert from polar coordinates to rectangular coordinates. x = rcosθ x = r c o s θ y = rsinθ y = r s i n θ Substitute in the known values of r = 1 r = 1 and θ = π 3 θ = π 3 into the formulas. x = (1)cos(π 3) x = ( 1) cos ( π 3) y = (1)sin(π 3) y = ( 1) sin ( π 3) Multiply cos( π 3) cos ( π 3) by 1 1., A rectangular to polar equation calculator is an online calculator that converts two-dimensional rectangular coordinates into polar coordinates. This …, To convert the rectangular coordinate (3, 4) into polar coordinates: To calculate the radius r, we use: r = √(x² + y²) Substitute the values for x = 3 and y = 4 and perform the corresponding operations: r = √(3² + 4²) r = 5. Calculate the angle θ = arctan(y / x), by substituting the x and y values: θ = arctan(4 / 3) θ = 53.13°, The equation for acceleration is a = (vf – vi) / t. It is calculated by first subtracting the initial velocity of an object by the final velocity and dividing the answer by time., Convert to Rectangular x=t^2 , y=t^9. x = t2 x = t 2 , y = t9 y = t 9. Set up the parametric equation for x(t) x ( t) to solve the equation for t t. x = t2 x = t 2. Rewrite the equation as t2 = x t 2 = x. t2 = x t 2 = x. Take the specified root of both sides of the equation to eliminate the exponent on the left side. t = ±√x t = ± x., All you need to do is just give the input list in the below input field and click on the calculate button to make your calculations within no time. Rectangular to Polar Calculator Enter the Coordinates. x-coordinate =. y-coordinater =. Calculate. Rectangular to Polar Calculator: Converting Rectangular coordinate to Polar coordinate includes the ..., Calculate the corresponding \(r\) values for each \(θ\). Plot each ordered pair \((r,θ)\) on the coordinate axes. Connect the points and look for a pattern. ... Use the conversion formulas to convert equations between rectangular and polar coordinates., Example 1. Convert the polar equation, r = − 6 sec θ as a rectangular equation. Graph the resulting equation on an x y -coordinate system. Solution. We can rewrite sec θ in terms of cosine using the reciprocal identity, sec θ = 1 cos θ. Let’s rewrite the polar equation as shown below. r = − 6 sec θ r = − 6 ⋅ 1 cos θ., Free Cartesian to Polar calculator - convert cartesian coordinates to polar step by step, Problems were equations in rectangular form are converted to polar form, using the relationship between polar and rectangular coordinates, are presented along with detailed solutions. In what follows the polar coordinates of a point are (R , t) where R is the radial coordinate and t is the angular coordinate. The relationships between the rectangualr …, Precalculus. Convert to Rectangular Coordinates (2,270) (2,270) ( 2, 270) Use the conversion formulas to convert from polar coordinates to rectangular coordinates. x = rcosθ x = r c o s θ. y = rsinθ y = r s i n θ. Substitute in the known values of r = 2 r = 2 and θ = 270 θ = 270 into the formulas. x = (2)cos(270) x = ( 2) cos ( 270), Many of our calculators provide detailed, step-by-step solutions. This will help you better understand the concepts that interest you. eMathHelp: free math calculator - solves algebra, geometry, calculus, statistics, linear algebra, and linear programming problems step by step. , All you have to do is enter polar coordinates i.e radius and angle in the input fields and tap on the calculate button of the Polar to Rectangular Calculator to obtain the rectangular coordinates i.e x and y in no time. Polar to Rectangular Calculator Enter the Polar Coordinates. r coordinate =. θ coordinate =. Calculate., Many of our calculators provide detailed, step-by-step solutions. This will help you better understand the concepts that interest you. eMathHelp: free math calculator - solves algebra, geometry, calculus, statistics, linear algebra, and linear programming problems step by step., Equations Inequalities Simultaneous Equations System of Inequalities Polynomials Rationales Complex Numbers Polar/Cartesian Functions Arithmetic & Comp. Coordinate Geometry Plane Geometry Solid Geometry Conic ... Quadratic Equations Calculator, Part 1. A quadratic equation is a second degree polynomial having the general form ax^2 + …, In this question, we've been given a pair of Cartesian coordinates and asked to convert to polar coordinates. ... calculator gives us when we work out the inverse ..., Free Cartesian to Polar calculator - convert cartesian coordinates to polar step by step , From the equations of the polar to Cartesian calculations you can easily see the close relationship between polar coordinates and trigonometry. Now you know how to convert polar coordinates both from and to Cartesian coordinates: our calculator will do it in no time, but it's better to know the math before the calculations!, Polar to Rectangular Calculator is a free online tool that displays the conversion of polar coordinate to the rectangular coordinate. BYJU’S online polar to …, For the following exercises, graph the conic given in polar form. If it is a parabola, label the vertex, focus, and directrix. If it is an ellipse or a hyperbola, label the vertices and foci. r = 3 1 − sin θ. Show Solution. r = 8 4 + 3 sin θ. r = 10 4 + 5 cos θ. Show Solution. r = 9 3 − 6 cos θ., Phasor Calculator. * General Instructions and Information · * Convert Phasor From Rectangular to Polar Form · * Convert Phasor From Polar to Rectangular ..., Keisan English website (keisan.casio.com) was closed on Wednesday, September 20, 2023. Thank you for using our service for many years. Please note that all registered data will be deleted following the closure of this site., Trigonometry Examples. (0,−5) ( 0, - 5) Convert from rectangular coordinates (x,y) ( x, y) to polar coordinates (r,θ) ( r, θ) using the conversion formulas. r = √x2 +y2 r = x 2 + y 2. θ = tan−1 (y x) θ = t a n - 1 ( y x) Replace x x and y y with the actual values. r = √(0)2 +(−5)2 r = ( 0) 2 + ( - 5) 2. θ = tan−1 (y x) θ = t a ... , Free Cartesian to Polar calculator - convert cartesian coordinates to polar step by step