Definition of parametric equations:

Suppose that x and y are continuous functions of a third variable t. Then x=f(t) and y=g(t) are called parametric equations for the curve represented by (x,y).

Lines in polar coordinates:
Let and  then the polar equations of the lines x=a and y=b are and  for all values of  

Parametric equations are equations that are used to introduce polar coordinates and their relation with rectangular coordinates. Historic applications of parametric equations are discussed so the use of them is realized.  

Polar coordinates simplified the work it takes to arrive at solutions in most trigonometry problems. Conversion between Cartesian coordinates and polar coordinate is important to determine the efficiency of them in trigonometric solutions. The graphs pf polar coordinates rely on the Cartesian coordinates and their properties.

Specific Tutorial Features:
• Several example problems with step by step illustrations of solutions.
• Tables and graphs showing the Cartesian coordinates, polar coordinates and both of their properties.

Series Features:
• Concept map showing inter-connections of new concepts in this tutorial and those previously introduced.
• Definition slides introduce terms as they are needed.
• Visual representation of concepts
• Animated examples—worked out step by step
• A concise summary is given at the conclusion of the tutorial.

Parametric equations
           Parametric equations and their definition
Polar coordinates
           Polar coordinates and their definition
           Conversion between polar and Cartesian coordinates
Polar coordinates graphs
           Lines in polar coordinates
           Circles in polar coordinates