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.

182 Solution: rcos(θ) = – 2 (x = rcos(θ)) x = – 2 This is a vertical line passing through (– 2, 0). Theorem If a ≠ 0, then 1) rsin(θ) = a is a horizontal line that passes through (0, a).

Loading..

Tags:

  Cors

Information