MATH-43,F17,Sec. 10.8.doc

# MATH-43,F17,Sec. 10.8.doc - MATH-43 Ex 1 Sec 10.8 Graphs of...

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MATH-43 Sec. 10.8 Graphs of Polar Equations Ex 1 Graphing a Polar Equations by Point Plotting Sketch the graph of the polar equation sin 3 r . Symmetry Tests for Symmetry in Polar Coordinates The graph of a polar equation is symmetric with respect to the following if the given substitution yields an equivalent equation. 1. The line 2 : Replace , r by , r or , r 2. The polar axis: Replace , r by , r or , r 3. The pole: Replace , r by , r or , r Ex 2 Using Symmetry to Sketch a Polar Graph Use a symmetry to sketch the graph cos 1 2 r .

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