Lesson 15 polar curves

3,666 views

Published on

Published in: Technology, Education
0 Comments
6 Likes
Statistics
Notes
  • Be the first to comment

No Downloads
Views
Total views
3,666
On SlideShare
0
From Embeds
0
Number of Embeds
15
Actions
Shares
0
Downloads
211
Comments
0
Likes
6
Embeds 0
No embeds

No notes for slide

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

×