Lines- common polar coordinate graphs, Mathematics

Assignment Help:

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.


Related Discussions:- Lines- common polar coordinate graphs

Error analysis: describle and correct the error in plotting, to plot (5,-4)...

to plot (5,-4), start at (0,0) and move 5 units left and 4 units down

Equations in linear algebra and matrices, Equations in linear algebra and m...

Equations in linear algebra and matrices What is Equations in linear algebra and matrices?

Compare and contrast african immigrants, Compare and contrast African immig...

Compare and contrast African immigrants with our immigrant groups? How are they different? What are the implications of these differences for their adjustment to the larger society

Linear programming , use the simplex method to solve the following lp probl...

use the simplex method to solve the following lp problem. max z = 107x1 + x2 + 2x3 subject to 14x1 + x2 - 6x3 + 3x4 = 7 16x1 + x2 - 6x3 3x1 - x2 - x3 x1,x2,x3,x4 > = 0

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd