Transcription of Section 9.2 – Polar Equations and Graphs
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Section 9.2 – Polar Equations and Graphs
180 Section Polar Equations and Graphs In this Section , we will be graphing Polar Equations on a Polar grid. In the first few examples, we will write the Polar equation in rectangular form to help identify the type of Equations we have and then sketch the graph . Objective 1: Identify Polar Equations and graph Convert the Polar equation to rectangular and sketch the graph : Ex. 1 r = 5 Solution: r = 5 (square both sides) r2 = 25 (replace r2 by x2 + y2) x2 + y2 = 25 This is a circle of radius 5 centered at the Pole. = 4 Solution: = 4 (take the tangent of both sides) tan( ) = tan( 4) = 1 (tan( ) = yx) yx = 1 y = x This is a line with slope of 1 passing through the Pole.
180 Section 9.2 – Polar Equations and Graphs In this section, we will be graphing polar equations on a polar grid. In the first few examples, we will write the polar equation in rectangular form to
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