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

Draw tangent graph y = sec ( x ), G raph y = sec ( x ) Solution: As wi...

G raph y = sec ( x ) Solution: As with tangent we will have to avoid x's for which cosine is zero (recall that sec x =1/ cos x) Secant will not present at

Ellipse, different types of ellipse

different types of ellipse

Determine the size of the proposed repayments, Five years ago a business bo...

Five years ago a business borrowed $100,000 agreeing to repay the principal and all accumulated interest at 8% pa compounded quarterly, 8 years from the loan date. Two years after

Tables and funcuctions, write an equation for a functionthat gives the valu...

write an equation for a functionthat gives the value in ech table .

Example of set theory, Suggest me the solution: Consider the given unive...

Suggest me the solution: Consider the given universal set T and its subjects C, D and E T = {0, 2, 4, 6, 8, 10, 12} C = {4, 8,} D = {10, 2, 0} E = {0} Find out

Find the value of x of an arithmetic progressions, Find the value of x if 2...

Find the value of x if 2x + 1, x 2 + x +1, 3 x 2 - 3 x +3 are consecutive terms of an AP. Ans:  a 2 -a 1 =  a 3 -a 2 ⇒   x 2 + x + 1-2 x - 1 = 3x 2 - 3x + 3- x

Probabillity, In my wallet there is a 10p stamp, a 12p stamp and a 20p stam...

In my wallet there is a 10p stamp, a 12p stamp and a 20p stamp.I remove a stamp,put it back and then remove a stamp again.Draw a sample space diagram to show all the possible resul

Assignment, hi,i want know about Assignment work..

hi,i want know about Assignment work..

Perimeter and Area, A farmer has a rectangular field of length 100m and bre...

A farmer has a rectangular field of length 100m and breadth 70m. He leaves a path of 1m all along the boundary inside it. He decides to apply a manure to the remaining part of the

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