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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