Lines- Common Polar Coordinate Graphs

A few lines have quite simple equations in polar coordinates.

1.  θ = β

We are able to see that this is a line by converting to Cartesian coordinates as follows

θ = β

tan-1 (y/x) = β

y/x = tan β

y = (tan β) x

This is a line that undergoes the origin and makes an angle of β along with the positive x-axis.  Or, in other words it is a line by the origin with slope of tan β.

2. r cos θ = a

This is very easy to convert to Cartesian coordinates to x = a. Thus, this is a vertical line.

3. r sin θ = b

Likewise, this converts to y = b and so is a horizontal line.

Posted Date: 4/12/2013 2:38:34 AM | Location : United States

Ask an Expert

Related Discussions:- Lines- common polar coordinate graphs, Assignment Help, Ask Question on Lines- common polar coordinate graphs, Get Answer, Expert's Help, Lines- common polar coordinate graphs Discussions

Write discussion on Lines- common polar coordinate graphs
Your posts are moderated

Write your message here..

Related Questions

Heat loss in a cylindrical pipe, how to do this project how to do this project

Ratio proportion unitary method, Find The Ratio Of : 2 dozens to a score Find The Ratio Of : 2 dozens to a score

Composite functions, applications of composit functions applications of composit functions

Geometry , Solving for X in isosceles triangles Solving for X in isosceles triangles

Advanced abstract algebra, prove that J[i] is an euclidean ring prove that J[i] is an euclidean ring

What was the original price of the frying pan, Cory purchased a frying pan ... Cory purchased a frying pan which was on sale for 30% off. She saved $3.75 along with the sale. What was the original price of the frying pan? Use a proportion to ?nd out the o

Directional derivatives, What are directional derivatives? Explain with two... What are directional derivatives? Explain with two or more examples..

Exact differential equations, The subsequent type of first order differenti... The subsequent type of first order differential equations which we'll be searching is correct differential equations. Before we find in the full details behind solving precise diff

Example for introducing counting, Four-year-old Mariamma was reciting numbe... Four-year-old Mariamma was reciting number names - some of them in order, and others randomly. The child's aunt, sitting nearby, asked her, "Can you write 'two'?" She said she coul

Evaluate the log function, Evaluate the log function: Calculate 3log 1... Evaluate the log function: Calculate 3log 10 2. Solution: Rule 3.             log  (A n ) = nlog b   A 3log 10  2 = log 10 (2 3 ) = log 10   8 = 0.903