lesson 15 polar curves
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POLAR CURVES
Prepared by:Prof. Teresita P. Liwanag – Zapanta
B.S.C.E., M.S.C.M., M.Ed. (Math-units), PhD-TM (on-going)
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SPECIFIC OBJECTIVES: At the end of the lesson, the student is expected to
be able to:
• define polar coordinates.• plot points polar coordinates.• write and sketch the graphs of polar equations.• convert polar to rectangular and vice versa.
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Examples: Plot the given points on a polar coordinate system.a.P (3, 45°)
b. P (3, –60°)
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c. P (–3, 220°)
d. P (-3, –75°)
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RELATIONS BETWEEN RECTANGULAR AND POLAR COORDINATES
The transformation formulas that express the relationship between rectangular coordinates and polar coordinates of a point are as follows:
and
Also, ;
;
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2. Express the rectangular coordinates (-4, 3) in terms of polar coordinates.
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Cardiod Limacon
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Eight – leaf Rose Three – leaf Rose
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Spiral of Archimedes Logarithmic Spiral
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Lemniscate
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