POLAR               CURVES                   Prepared by:       Prof. Teresita P. Liwanag – ZapantaB.S.C.E., M.S.C.M., M.E...
SPECIFIC OBJECTIVES:      At the end of the lesson, the student is expected tobe able to:• define polar coordinates.• plot...
Examples: Plot the given points on a polar coordinate system.b.P (3, 45°)b. P (3, –60°)
c. P (–3, 220°)d. P (-3, –75°)
RELATIONS BETWEEN RECTANGULAR AND POLARCOORDINATES       The transformation formulas that express therelationship between ...
2. Express the rectangular coordinates (-4, 3) in terms of polarcoordinates.
Cardiod   Limacon
Eight – leaf Rose   Three – leaf Rose
Spiral of Archimedes   Logarithmic Spiral
Lemniscate
Lesson 15    polar curves
Lesson 15    polar curves
Lesson 15    polar curves
Lesson 15    polar curves
Lesson 15    polar curves
Lesson 15    polar curves
Lesson 15    polar curves
Lesson 15    polar curves
Lesson 15    polar curves
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Lesson 15 polar curves

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Lesson 15 polar curves

  1. 1. POLAR CURVES Prepared by: Prof. Teresita P. Liwanag – ZapantaB.S.C.E., M.S.C.M., M.Ed. (Math-units), PhD-TM (on-going)
  2. 2. SPECIFIC OBJECTIVES: At the end of the lesson, the student is expected tobe able to:• define polar coordinates.• plot points polar coordinates.• write and sketch the graphs of polar equations.• convert polar to rectangular and vice versa.
  3. 3. Examples: Plot the given points on a polar coordinate system.b.P (3, 45°)b. P (3, –60°)
  4. 4. c. P (–3, 220°)d. P (-3, –75°)
  5. 5. RELATIONS BETWEEN RECTANGULAR AND POLARCOORDINATES The transformation formulas that express therelationship between rectangular coordinates and polarcoordinates of a point are as follows: and Also, ; ;
  6. 6. 2. Express the rectangular coordinates (-4, 3) in terms of polarcoordinates.
  7. 7. Cardiod Limacon
  8. 8. Eight – leaf Rose Three – leaf Rose
  9. 9. Spiral of Archimedes Logarithmic Spiral
  10. 10. Lemniscate
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