Precalculus Semester Test. sin( ) rcos2( ) = 1 r Write each Cartesian equation in polar form (in terms of rand ). polar equations stu schwartz answers Bing PDFsDirNN com. Answers A surveyor mapping out the land where a new housing development will be built identifies a landmark feet away and ° left of center. Introduction to Trigonometric Identities and Equations; 7. The graphs of the polar curves 𝑟1=6sin3θ and 𝑟2=3 are shown to the right. Consider the graph of the spiral r = 3. y= x 15. Transforming Equations between Polar and Rectangular Forms Convert a polar equation into a cartesian equation: circle!Convert r = 6sin(theta)-2cos(theta) into cartesian equation. Sample answer: r sin 2v The graph of a polar equation whose form is r a cos nv or a sin nv, where n is a positive integer, is a rose. Bond polarities arise from bonds between atoms of different electronegativity. The polar coordinates of a point are not unique. Find the polar coordinates of the point with the given rectangular coordinates. Dividing polynomial functions. Chapter 9 - Polar Coordinates and Complex Numbers Period [ Use the Real World Application problem on p593 and Example 3 on p595 as a hint. Convert the point to rectangular coordinates. Since the radius of a typical sector in Figure 10. Translate polar coordinates 2 p;5ˇ 4 into rectangular coordinates. 2;2 p 3 c 2012 Shmoop University. Let z = r(cos(θ) + isin(θ)). Free trial available at KutaSoftware. Solution Find the area inside the graph of r = 7+3cosθ r = 7 + 3 cos θ and to the left of the y y -axis. Functions Continuity. The polar coordinates of a point are not unique. 8 : Area with Polar Coordinates Back to Problem List 4. (c) cot. Over 100 individual topics extend skills from Algebra 2 and introduce Calculus. (c) 1. Explain mathematic problem. Worksheet by Kuta Software LLC Precalculus Graphing Polar Equations CW Name_____ Date_____ Period____ ©m U2A0N1_6c LKbumtEa` XSlo`fPtbwmaHrEeb HLBLpCI. 3: Polar Coordinates. Determine a set of polar coordinates for the point. Consider the graph of the spiral r = 3. (b) tan. But there can be other functions! For example, vector-valued functions can have two variables or more as outputs! Polar functions are graphed using polar coordinates, i. Quiz 1: 5 questions Practice what you’ve learned, and level up on the above skills. 5) i Real Imaginary 6) (cos isin ) Convert numbers in rectangular form to polar form and polar form to rectangular form. ( -2 , ) 2. Pre Calc - 13. Answers: (1a) graph in QII. Ap Statistics Chapter 9 Answers fraggorillazz de. Write the rectangular equations in polar form. You discover new ways to record solutions with interval notation, and you plug trig identities. 1 sin v 1 for any value of v. MOTO 7. The polar equation is in the form of a limaçon, r = a – b . Writing Polar Coordinates as Rectangular Coordinates Write the polar coordinates ( −2,0 ) as rectangular coordinates. Upload Choose a File Question 36 Find the Cartesian Coordinates for (4, %) Upload Choose a File Question 37 Find a slope of the tangent line of r=cos£26) at the point 3. ( -2 , ) 2. This Polar and Parametric Equations Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the following topics:• The Polar Coordinate System; Graphing Polar Coordinates• The Polar Distance Formula• Basic Polar Equations (Lines and Circles)• Types and Tests for Symmetry• Maximum r-Values and Zeros of Polar Equations. Write your answer in exact rectangular form. solutions and answers to calculus 9781337624183 as well as thousands of textbooks so you can move forward with. com/mathematics/pre-calculus/tohoru/ Other subjects include Algebra 1/2, Basic Math, Geometry, Pre-Algebra, Calculus, Stati. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Polar Forms of Conic Sections Name_____ Date_____ Period____-1-Each polar equation describes a conic section with a focus at the origin. Therefore, the maximum value of r 3 5 sin v is r 3 5(1) or 8. Polar Coordinates and Vectors Assessments Bundle:This resource is a full unit of assessments for PreCalclus Unit 6: Polar Coordinates and Vectors. A molecule can be ionic. In polar coordinates, we describe points using their distance (r) from the origin and the angle (θ) from the positive horizontal axis. See explanation. (b) 2 /3. Functions Continuity. Know how to compute the slope of the tangent line to a polar curve at a given point. Graphing Polar Equations : The most basic method of . Created by. 1) r = 2 0 p 6 p 3 p 2p2 3 5p 6 p 7p 6 4p 3p 2 5p 3 11p 6. Each ray represents 15 degrees, so this point is on the ray representing The radius is 2, so the point is 2 units out from the origin. 3 Polar Coordinates 6. specified in polar coordinates, it is often helpful to convert to Cartesian coordinates and proceed as in Sections 9. If θis a number, then cosθand sinθare defined to be the x- and y- coordinate, respectively, of the point on the unit circle obtained by measuring off the angle θ(in radians!) from the point (0,1). Therefore, the maximum value of r 3 5 sin v is r 3 5(1) or 8. 4 WS HWK Polar Graphing Lines and Circles ANSWERS. The locations of two ships measured from a lighthouse are given in polar coordinates as (3 miles, 170 ) and (5 miles, 150 ). Infinite Algebra 2. 1 and 9. 15) (x+ r z Convert each equation from polar to rectangular form. Worksheet by Kuta Software LLC-3-Convert each pair of rectangular coordinates to polar coordinates where r > 0 and 0 £ q < 2p. Visit http://ilectureonline. The area of a region in polar coordinates can be found by adding up areas of “infinitesimal circular sectors” as in Figure 2(b). One loop of r = 3cos3θ. 7). 1) tan θ = 2. Be able to Calculate the area enclosed by a polar curve or curves. AP CALCULUS BC. 5: Complex Numbers and Polar Coordinates 5. B (5, 2400 E (-2,450) G -450 H (-2, 00) 1 (o, -2700) 1800 State three other pairs of polar coordinates for each point where (-2,1500 330) —30) 11. Converting from Rectangular Coordinates to Polar Coordinates. So the polar coordinates are (6, 4π 3). Show Solution. (b) tan. 2 : Jan 16, 2014, 6:55 AM: Kevin Stirling: ĉ: 6. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and. Therefore a Riemann sum that approximates the area is given by. Examples, videos, worksheets, solutions, and activities to help PreCalculus students learn how to convert between polar coordinates and rectangular . The all polar coordinates of point P are (3, -/4 + 2n) and [ -3, -/4. 5) i Real Imaginary 6) (cos isin ) Convert numbers in rectangular form to polar form and polar form to rectangular form. Circles have an eccentricity of 0. Translate rectangular coordinates (5 p 3; 5) into polar coordinates. (b) tan. Math Calculus In Exercises 17-23 the polar coordinates for several sets of points are given. 2 Polar Coordinates Pre Calc - 13. © 2018 Kuta Software LLC. 2 Polar Coordinates Watch on Packet To purchase this lesson packet, or lessons for the entire course, please click here. doc View. Polar Coordinates. This Polar Curves Graphic Organizer Summary is designed for PreCalculus and Trigonometry students and can also be used as a review for Calculus 2 or AP Calculus BC classes before studying the Calculus of Polar Functions. (c) cot. component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Therefore, the maximum value of r 3 5 sin v is r 3 5(1) or 8. Draw the region with polar coordinates 1<r<3 and π/4 < θ <π/2. Visit http://ilectureonline. 5: Complex Numbers and Polar Coordinates 5. Graphs, real zeros, and end behavior. Answer the following multiple choice questions by circling the correct response. Consider the graph of the spiral r = 3. Convert each pair of rectangular coordinates to polar coordinates where r > 0 and O < 2m 11) - 31 13) 12) p) 14) 26 5 ¥ r = 5cote csce Conv -eac equation from rectangular to polar. Find the distance between the points. 23 Classwork: Polar Coordinate/Vector Worksheet: 1-16 all. Introduction to Trigonometric Identities and Equations; 7. The first year I did polar equations, we just did them all by hand and did some noticing. Write the angular measurement in degrees accurate to 2 decimal places. ( -2 , ) 2. Polar take home 30 Points Name. 2;2 p 3 c 2012 Shmoop University. Precalculus : Polar Coordinates Study concepts, example questions & explanations for Precalculus. 8 : Area with Polar Coordinates Find the area inside the inner loop of r = 3−8cosθ r = 3 − 8 cos θ. Polar Coordinates. 29 slides teaching students how to:- plot coordinates in all four quandrants equations of horizontal and vertical lines properties of equations of a straight lines finding the equation of a straight line This is a powerpoint full of interactive learning activities with practice exercises and answers. doc from MARKETING 81450001 at Langley High. Here we derive a formula for the arc length of a curve defined in polar coordinates. If y < 0 then θ = 2π− θ' (in radians) or θ = 360 −θ' (in degrees). ( -5 , 12 ) b. (b) 2 /3. Plot each point in the complex plane. 8: Vectors; 8. 1,000 Possible mastery points Skill Summary Vectors introduction Vector components Magnitude of vectors Quiz 1: 5 questions Practice what you’ve learned, and level up on the above skills Scalar multiplication Vector addition and subtraction. 10;11ˇ 6 8. 29 slides teaching students how to:- plot coordinates in all four quandrants equations of horizontal and vertical lines properties of equations of a straight lines finding the equation of a straight line This is a powerpoint full of interactive learning activities with practice exercises and answers. Polar Coordinates 2. Corrective Assignment. 3 Double-Angle, Half-Angle, and Reduction Formulas. ur = (cos θ)i + (sin θ)j, uθ = −(sin θ)i + (cos θ)j. B (5, 2400 E (-2,450) G -450 H (-2, 00) 1 (o, -2700) 1800 State three other pairs of polar coordinates for each point where (-2,1500 330) —30) 11. State three other pairs of polar coordinates for each point where :. Show work. z = x 2 + y 2 , z = 0, x 2 + y 2 = 25 Chapter 14, Exercises 14. Graphing trig functions. Find the area of the region in the polar coordinate plane. One loop of r = 3cos3θ. In rectangular coordinates, the arc length of a parameterized curve (x(t), y(t)) for a ≤ t ≤ b is given by. 3: Polar Coordinates. Over 100 individual topics extend skills from Algebra 2 and introduce Calculus. 5 EX #10 for -23 degrees in the. ( 3 , -3 ) c. Math Calculus 1 X 7-14 Evaluate the given integral by changing to polar coordinates. rant that we need. The region enclosed by the circle x2 + y2 = 2x. Therefore, the maximum value of r 3 5 sin v is r 3 5(1) or 8. Graph and label each point. With this. 3 WS Polar Coordinates (Answers). Assignment Worksheet Discovery activity, graphing polar equations. The polar equation is in the form of a limaçon, r = a – b . Velocity and Acceleration in Polar Coordinates. Simple trig equations. Magnitude of vectors. 30 seconds. Likewise, the minimum value of r 3 5 sin v is r 3 5( 1) or 2. 3 : Feb 18, 2015, 12:29 PM: Kevin Stirling: Ċ: 6. I Polar Equations What you are finding r Wikispaces. CSI 1. One loop of r = 3cos3θ. 3 Polar Coordinates 6. 3: Polar Coordinates Converting from Rectangular to Polar Coordinates: To convert from rectangular coordinates to polar coordinates, the equations tan()=yx tan ( ) = y x and r2 Solve math problem. and if n = even you'll get 2n petals. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and. 1 sin v 1 for any value of v. Free trial available at KutaSoftware. 238 Chapter 10 Polar Coordinates, Parametric Equations. Report an Error Example Question #5 : Convert Polar Equations To Rectangular Form And Vice Versa. Pre-Calculus Lesson Plans Unit 8 Polar: May 11th to May 18th 2011 End of Year May. Direction of vectors. Over 100 individual topics extend skills from Algebra 2 and introduce Calculus. Practice Solutions. ( -2 , ) 2. A molecule can be ionic. 3: Polar Coordinates. Reed College, Bachelor in Arts, Mathematics. For each point in the coordinate plane, there is one representation, but for each point in the polar plane, there are infinite representations. r= cos( ) sin( ) 12. 7). Polar and Rectangular Forms of Equations Convert each equation from polar to rectangular form. 3 Polar Coordinates 6. Example \(\PageIndex{6}\) Sketch a graph of the polar equation \(r = 3\). Over 100 individual topics extend skills from Algebra 2 and introduce Calculus. Chapter 9 - Polar Coordinates and Complex Numbers Period [ Use the Real World Application problem on p593 and Example 3 on p595 as a hint. (c) 1. Classify the curve; determine if the graph is symmetric with respect to the origin, polar axis, and line = / ; find the values of where r is zero; find the maximum r value and the values of where this occurs; and sketch the graph. What familiar shape is the graph? 10. I Polar Equations What you are finding r Wikispaces. Determine a set of polar coordinates for the point. (c) cot. Vector addition and subtraction. The Cartesian coordinate of a point are (−8,1) ( − 8, 1). 4 p 2;3ˇ 4 10. Find the fourth roots of. Test and Worksheet Generator for Precalculus Infinite Precalculus covers all typical Precalculus material and more: trigonometric functions, equations, and identities; parametric equations; polar coordinates; vectors; limits; and more. Pre-Calculus For Dummies. Convert each pair of rectangular coordinates to polar coordinates where r > 0 and O < 2m 11) - 31 13) 12) p) 14) 26 5 ¥ r = 5cote csce Conv -eac equation from rectangular to polar. This precalculus video tutorial explains how to convert rectangular equations to polar equations. For each point in the coordinate plane, there is one representation, but for each point in the polar plane, there are infinite representations. 8 : Area with Polar Coordinates Find the area inside the inner loop of r = 3−8cosθ r = 3 − 8 cos θ. Joanne Brookes. The area of a region in polar coordinates can be found by adding up areas of “infinitesimal circular sectors” as in Figure 2(b). 2 Sum and Difference Identities; 7. Write the rectangular equations in polar form. Answer the following multiple choice questions by circling the correct response. Translate rectanular coordinates ( 4;4) into polar coordinates. (You may use your calculator for all sections of this problem. Convert to Rectangular Coordinates (2270) The calculator will convert the polar coordinates to rectangular (Cartesian) and vice versa, with steps shown. 5) i Real Imaginary 6) (cos isin ) Convert numbers in rectangular form to polar form and polar form to rectangular form. Translate polar coordinates 2 p;5ˇ 4 into rectangular coordinates. Ap Statistics Chapter 9 Answers fraggorillazz de. See [link]. For clockwise rotation, it decreases. Find an equation in polar coordinates that has the same graph as the given equation in rectangular coordinates. Application solutions are available for purchase! click here. Find all pairs of polar coordinates that describe the same point as the provided polar. Ap Statistics Chapter 9 Answers fraggorillazz de. Graph and label each point. Stu Schwartz Polar Coordinates And Polar Graphs Free PDF. Find all pairs of polar coordinates that describe the same point as the provided polar coordinates. (5) $10. 7) i 8) i. Correct answer: Explanation:. 23 Classwork: Polar Coordinate/Vector Worksheet: 1-16 all. Polar take home 30 Points Name. Polar and Rectangular Forms of Equations Date Period 8. Free Precalculus worksheets created with Infinite Precalculus. Bond polarities arise from bonds between atoms of different electronegativity. Express the answer as an ordered pair. Use rectangular coordinates when the number is given in rectangular form and polar coordinates when polar form is used. Find the rectangular coordinates for each of the points, and then plot and label the points in the same polar coordinate system. (b) tan. Convert the rectangular equation (x + 3)2 + (y + 3)2 = 18 into a polar equation, . Since the radius of a typical sector in Figure 10. (c) 1. Translate polar coordinates 4;2ˇ 3 into rectangular coordinates. Sample answer: r sin 2v The graph of a polar equation whose form is r a cos nv or a sin nv, where n is a positive integer, is a rose. Polar coordinates use a graphing system based on circles, and we specify positions using the radius and angle of a point on a circle centered at the origin. How do you write an ordered pair in polar coordinates? You Request? We Answer! You Ask? We Answer! is a column dedicated to answering all of your burning. ( -2 , ) 2. Pre-Calculus Name Chapter 9 – Polar Coordinates and Complex Numbers Period 1. Create your own worksheets like this one with Infinite Precalculus. Sample answer: r sin 2v The graph of a polar equation whose form is r a cos nv or a sin nv, where n is a positive integer, is a rose. Draw the region with polar coordinates 1<r<3 and π/4 < θ <π/2. Calculate the area of a polar function by inputting the polar function for r and selecting an interval. elden ring wikidot
Honors Pre-Calculus Worksheet: Polar Coordinates Name: _Key_ In problems 1-8, match each point in. . Pre calculus polar coordinates worksheet with answers
29 slides teaching students how to:- plot coordinates in all four quandrants equations of horizontal and vertical lines properties of equations of a straight lines finding the equation of a straight line This is a powerpoint full of interactive learning activities with practice exercises and answers. Polar coordinates use a graphing system based on circles, and we specify positions using the radius and angle of a point on a circle centered at the origin. Likewise, the minimum value of r 3 5 sin v is r 3 5( 1) or 2. y= x 15. Polar Coordinates. Translate polar coordinates 2 p;5ˇ 4 into rectangular coordinates. The graphs of the polar curves 𝑟1=6sin3θ and 𝑟2=3 are shown to the right. Made with Infinite Pre cal culus 19) = 3tan esec O xco points are specified using polar coordinates. 5 Polar Form of Complex Numbers; . 1) (3, 150°). The distance from the origin to the curve at the point corresponding to = 2 /3 is (a) 2. How do you write an ordered pair in polar coordinates? answer choices. b) Write the coordinates of the points of intersection using now rectang ular coordinates. When n. Calculator permitted except unless specifically stated. the origin and the angle (θ) from the positive horizontal axis. B (5, 2400 E (-2,450) G -450 H (-2, 00) 1 (o, -2700) 1800 State three other pairs of polar coordinates for each point where (-2,1500 330) —30) 11. Pre calculus problems and answers - Pre calculus problems and answers is a mathematical instrument that assists to solve math equations. Polar Coordinates Word Problems Copyright ©PreCalculusCoach. Worksheet by Kuta Software LLC. 2 y = 3x ( answer) 10. The slope of the line tangent to the circle r = 6 at the point ( r, ) is (a) 6 cot. Worksheet by Kuta Software LLC. how to crimp network cables. If you have a question, our experts will have an answer for you in no time. ryobi 40v batteryPrecalculus Worksheets Listed. Answer Exercise 5. MTH 133 Worksheet: 10. 927 and θ = π. (You may use your calculator for all sections of this problem. Graphs of rational functions. Free trial available at KutaSoftware. ( -5 , 12 ) b. Graphing in Polar Worksheet-1 -. 3 April 3rd 2018 Write each polar equation in Cartesian form (in terms of xand y). The polar coordinates (-3,120°) are given what are the rectangular coordinates? Follows • 2 Expert Answers • 1 Polar Coordinates Cosine Sine 01/10/16 Find an equation equivalent to x^2 - y^2 = 4 in polar coordinates. Give your answer accurate to three significant figures. 5) i Real Imaginary 6) (cos isin ) Convert numbers in rectangular form to polar form and polar form to rectangular form. Correct answer: Explanation:. Answers A surveyor mapping out the land where a new housing development will be built identifies a landmark feet away and ° left of center. Precalculus Help » Polar Coordinates and Complex Numbers » Polar Coordinates. Visit http://ilectureonline. Translate polar coordinates 2 p;5ˇ 4 into rectangular coordinates. The Precalculus course covers complex numbers; composite functions; trigonometric functions; vectors; matrices; conic sections; and probability and combinatorics. Show work. ( 3 , -3 ) c. Apr 17, 2015. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and. Introduction to Trigonometric Identities and Equations; 7. A polar graph is the set of all points whose coordinates (r,0) satisfy a given polar equation. 2 Polar Coordinates & their Graphs Objectives: To. Printable in convenient PDF format. Judy O. 9) r csc ( ) y x 10) r sin ( ) (x ) (y ) 11) r sec ( ) x y 12) r sec ( ) x y Create your own worksheets like this one with Infinite Precalculus. (c) cot. -1-Consider each polar equation. Calc BC Weebly. equations and polar coordinates chapter 11. Pre-Calculus Name Chapter 9 – Polar Coordinates and Complex Numbers Period 1. 7: Parametric Equations - Graphs; 8. Graphs, real zeros, and end behavior. Write your answer in polar form in degrees. 9) r csc ( ) y x 10) r sin ( ) (x ) (y ) 11) r sec ( ) x y 12) r sec ( ) x y Create your own worksheets like this one with Infinite Precalculus. A = ( θ 2π)πr2 = 1 2θr2. The slope of the line tangent to the circle r = 6 at the point ( r, ) is (a) 6 cot. Functions Continuity. Polar Coordinate Exercises 4. 7) i 8) i. y= x 15. 10;11ˇ 6 8. r1 = 8sin4θ GRAPH ⇒ graphs a 8 petaled rose. To do so, we can recall the relationships that exist among the variables x, y, r, and θ. 4 p 2;3ˇ 4 10. Free trial available at KutaSoftware. 3 April 3rd 2018 Write each polar equation in Cartesian form (in terms of xand y). (c) cot. to represent a circle? Explain your answer. d) For 0 Qθ<π 2, there are two points on 𝑟1 with x-coordinate equal to 4. The figure to the left shows the graphs of r 6sinT and r 3 3cos T for 0 dTd2S. B (5, 2400 E (-2,450) G -450 H (-2, 00) 1 (o, -2700) 1800 State three other pairs of polar coordinates for each point where (-2,1500 330) —30) 11. Write your answer in exact rectangular form. Sample answer: r sin 2v The graph of a polar equation whose form is r a cos nv or a sin nv, where n is a positive integer, is a rose. Convert each equation from polar to rectangular form. Convert to Rectangular Coordinates (2270) The calculator will convert the polar coordinates to rectangular (Cartesian) and vice versa, with steps shown. To discuss , you are referring to the angle formed by the line that goes through the pole (origin) and the polar axis (positive x-axis). Pre calculus problems and answers - Pre calculus problems and answers is a mathematical instrument that assists to solve math equations. (c) 1. Determine where the radius intersects the angle. A straight line (the diameter of a circle without a circumference) is 180°, so a 15° angle is expressed as 15π/180 or π/12. 2 : Jan 21, 2014, 2:13. (13) $2. The slope of the line tangent to the circle r = 6 at the point ( r, ) is (a) 6 cot. The polar equation is in the form of a limaçon, r = a – b . Inside the “figure eight” r = 1 + cos 2u and outside the circle r = 1. r= sec( ) 11. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and. describe the given region in polar coordinates. Section 6. Possible Answers: Correct answer: Explanation: Start by using the double angle formula for. Polar and Rectangular Forms of Equations Date Period 8. Converting from Rectangular Coordinates to Polar Coordinates. Similar to the x and y coordinate, the distance and angle are called the radial and angular. Vector components from magnitude and direction. Example \(\PageIndex{6}\) Sketch a graph of the polar equation \(r = 3\). Translate rectanular coordinates ( 4;4) into polar coordinates. This Polar and Parametric Equations Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the following topics:• The Polar Coordinate System; Graphing Polar Coordinates• The Polar Distance Formula• Basic Polar Equations (Lines and Circles)• Types and Tests for Symmetry• Maximum r-Values and Zeros of Polar Equations. Free trial available at KutaSoftware. p x2 +y2 1 = x p x 2+y. sin( ) rcos2( ) = 1 r Write each Cartesian equation in polar form (in terms of rand ). The polar coordinates of a point are not unique. The polar coordinates of a point are not unique. This Polar and Parametric Equations Unit Bundle includes guided notes, homework assignments, three quizzes, a study guide, and a unit test that cover the following topics:• The Polar Coordinate System; Graphing Polar Coordinates• The Polar Distance Formula• Basic Polar Equations (Lines and Circles)• Types and Tests for Symmetry• Maximum r-Values and Zeros of Polar Equations. Graph and label each point. Answers to Polar Equations to Rectangular. Convert each pair of rectangular coordinates to polar coordinates where r > 0 and 0 £ q < 2p. We are used to using rectangular coordinates, or xy-coordinates. Rational equations. Find the distance between the points. Convert to Rectangular Coordinates (2270) The calculator will convert the polar coordinates to rectangular (Cartesian) and vice versa, with steps shown. Since the radius of a typical sector in Figure 10. 13) (3, 0) 14) (2, 23) 15) (-2 2, 2 2) 16) (1 2, - 3 2) Convert each equation from rectangular to polar form. Worksheet 8. 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