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

Find the length of the rectangle, Suppose that the width of a rectangle is ...

Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 84 feet. a)    Set up an equation for the perimeter involving

Shares and dividents., how much money will required to buy 200,rupees 25 sh...

how much money will required to buy 200,rupees 25 shares at premium of rupees 2

What do you mean by transient state, What do you mean by transient state an...

What do you mean by transient state and steady-state queueing systems If the characteristics of a queuing system are independent of time or equivalently if the behaviour of the

Statistics, If a mean score is 89 with a standard deviation of 8 points. Wh...

If a mean score is 89 with a standard deviation of 8 points. What is the least score you can make and be in the top 20%?

Find the co ordinates of p such that ap =3/7 ab and p lies, If A & B are (-...

If A & B are (-2,-2) and (2,-4) respectively, find the co ordinates of P such that AP =3/7 AB and P lies on the line segment AB.

Alternating series test - sequences and series, Alternating Series Test - S...

Alternating Series Test - Sequences and Series The final two tests that we looked at for series convergence has needed that all the terms in the series be positive.  Actually t

Developing an understanding of subtraction, DEVELOPING AN UNDERSTANDING O...

DEVELOPING AN UNDERSTANDING OF SUBTRACTION :  The process of subtraction is the reverse of that of addition. Adding more to a collection to make it bigger is just the reverse

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