## MortelBOX

### BOX Of Vectors     # Goals Graph Polar Equations And Determine The Symmetry Of Polar Graphs

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How to test a polar equation for symmetry A quick vector to show you how to draw polar graphs on your Casio graphical calculator. determine the symmetry of a polar graph. When looking at some examples we concluded that we would sometimes have to look at the graph of the equation. The use of symmetry will be important when we start to determine the area inside the curve. The second topic that I discussed is the vector of a polar curve. This is an application of the

There are three symmetry tests that indicate whether the graph of a polar equation will exhibit symmetry. If an equation fails a symmetry test the graph may or may not exhibit symmetry. Polar equations may be graphed by making a table of values for [latex]theta [latex] and [latex]r[latex]. vector worksheets games and activities to help PreCalculus students learn how to determine the symmetry of polar graphs. Symmetry of Polar Graphs There are many polar curves that are symmetric. The symmetry of polar graphs about the x-axis can be determined using certain methods. Knowing the symmetry of polar graphs can help us calculate There are many polar curves that are symmetric. The symmetry of polar graphs about the x-axis can be determined using certain methods. Knowing the polar graph symmetry can help us calculate the area inside a polar curve. Some curves that can have symmetry of polar graphs are circles cardioids and limacon and roses and conic sections.

Graphs of Polar Equations . In the last section we learned how to graph a point with polar coordinates (r ). We will now look at graphing polar equations. Just as a quick review the polar coordinate system is very similar to that of the rectangular coordinate system. In a polar coordinate grid as shown below get practice questions for Precalculus - Determine the Polar Equation of a Graph. Includes full solutions and score reporting. The equation has failed the symmetry test but that does not mean that it is not symmetric with respect to the pole.Pvectoring one or more of the symmetry tests verifies that symmetry will be exhibited in a graph. However failing the symmetry tests does not necessarily indicate that a graph will not be symmetric about the line 2 . the polar axis or the pole. By performing three tests we will see how to apply the properties of symmetry to polar equations. Further we will use symmetry (in addition to plotting key points zeros and maximums of[latex]r)[latex] to determine the graph of a polar equation.