Polar Coordinates and Equations

The graphs of some specific polar equations are explored using java applet. You can also plot your own points generated using the polar equation under investigation.A tutorial on Graphing Polar Equations is in this website. Free polar graph paper is available.

Interactive Tutorial Using Java Applet

Your browser is completely ignoring the <APPLET> tag!

A- you can graph an equation or single points.

B- r is the radial coordinate and t is the angular coordinate.

1- Click on button "click here to start" and maximize the window obtained.

2- Choose one of the polar equations r = a + b*cos(t) or r = a*sin(nt) and plot its graph. Then use the "point by point" plot to fully understand how is the graph generated by checking the position of a point against r ant t. Use the scrollbars to change the parameters.

3- choose the equation r = a + b*cos(t) and set a and b such that:

a) a / b = 1 (cardioid)

b) a / b < 1 (limacon with loop)

c) 1 < a/b < 2 (limacon)

d) a / b > 2 (limacon)

4- choose the equation r = a*sin(nt) ( n is an integer not equal to zero) set a to certain value and set n to 1,2,3,.... you obtain flower shaped curves.

More references on polar coordinates.

Polar Coordinates.

Step by Step Math Worksheets SolversNew !
Linear ProgrammingNew ! Online Step by Step Calculus Calculators and SolversNew ! Factor Quadratic Expressions - Step by Step CalculatorNew ! Step by Step Calculator to Find Domain of a Function New !
Free Trigonometry Questions with Answers -- Interactive HTML5 Math Web Apps for Mobile LearningNew ! -- Free Online Graph Plotter for All Devices
Home Page -- HTML5 Math Applets for Mobile Learning -- Math Formulas for Mobile Learning -- Algebra Questions -- Math Worksheets -- Free Compass Math tests Practice
Free Practice for SAT, ACT Math tests -- GRE practice -- GMAT practice Precalculus Tutorials -- Precalculus Questions and Problems -- Precalculus Applets -- Equations, Systems and Inequalities -- Online Calculators -- Graphing -- Trigonometry -- Trigonometry Worsheets -- Geometry Tutorials -- Geometry Calculators -- Geometry Worksheets -- Calculus Tutorials -- Calculus Questions -- Calculus Worksheets -- Applied Math -- Antennas -- Math Software -- Elementary Statistics High School Math -- Middle School Math -- Primary Math
Math Videos From Analyzemath
Author - e-mail

Updated: February 2015

Copyright 2003 - 2016 - All rights reserved