<img src="https://d5nxst8fruw4z.cloudfront.net/atrk.gif?account=iA1Pi1a8Dy00ym" style="display:none" height="1" width="1" alt="" />
Dismiss
Skip Navigation

7.1: Polar Necessities

Difficulty Level: At Grade Created by: CK-12
Turn In

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 \begin{align*}(\theta, \ r)\end{align*}.

1. Plot and label the following points on the graph below: \begin{align*}A(15^\circ, \ 4), \ B(270^\circ, \ 5), \ C \left( \frac{\pi}{6}, 3\right)\end{align*} and \begin{align*}D \left( \frac{3\pi}{2},6\right)\end{align*} .

2. If \begin{align*}r(\theta) = \cos(\theta)\end{align*}, what is \begin{align*}r\left(\frac{\pi}{3}\right)\end{align*} ?

3. Graph \begin{align*}r(\theta) = 2 - 2\cos(\theta)\end{align*}. 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

Notes/Highlights Having trouble? Report an issue.

Color Highlighted Text Notes
Show More

Image Attributions

Show Hide Details
Description
Subjects:
Grades:
Date Created:
Feb 23, 2012
Last Modified:
Nov 04, 2014
Save or share your relevant files like activites, homework and worksheet.
To add resources, you must be the owner of the section. Click Customize to make your own copy.
Please wait...
Please wait...
Image Detail
Sizes: Medium | Original
 
TI.MAT.ENG.SE.1.Trigonometry.7.1
Here