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7.1: Polar Necessities

Difficulty Level: At Grade Created by: CK-12
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This activity is intended to supplement Trigonometry, Chapter 6, Lesson 4.

Plotting Coordinates & Exploring Polar Graphs

The coordinates of a polar curve are given as (θ, r).

1. Plot and label the following points on the graph below: A(15, 4), B(270, 5), C(π6,3) and D(3π2,6) .

2. If r(θ)=cos(θ), what is r(π3) ?

3. Graph r(θ)=22cos(θ). What is the shape of the graph?

4. Using your graphing calculator, explore polar graphs by changing the equation from #3. Try to generate the graphs listed below. Which of the graphs were you able to make? Write the equation next to the graph shape.

  • circle
  • rose with even number of petals
  • rose with odd number of petals
  • limaçon with an inner loop

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Date Created:
Feb 23, 2012
Last Modified:
Nov 04, 2014
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