Polar coordinates - parametric equations & polar coordinates, Mathematics

Assignment Help:

Polar Coordinates

Till this point we've dealt completely with the Cartesian (or Rectangular, or x-y) coordinate system.  Though, as we will see, this is not all time the easiest coordinate system to work in.  Thus, in this section we will start looking at the polar coordinate system.

 Coordinate systems are actually nothing much more than a way to describe a point in space.  For example in the Cartesian coordinate system at point is specified the coordinates (x,y) and we use this to describe the point by starting at the origin and after that moving x units horizontally followed by y units vertically.  This is illustrated in the diagram below.

331_Polar Coordinates - Parametric Equations & Polar Coordinates 1.png

Though, this is not the only way to define a point in two dimensional spaces.  In place of moving vertically and horizontally from the origin to obtain to the point we could in place of go straight out of the origin till we hit the point and then ascertain the angle this line makes with the positive x-axis.  We could then make use of the distance of point from the origin and the amount or value we required to rotate from the positive x-axis as the coordinates of the point.  This is illustrated in the diagram below.

1986_Polar Coordinates - Parametric Equations & Polar Coordinates.png

Coordinates in this form are called polar coordinates.


Related Discussions:- Polar coordinates - parametric equations & polar coordinates

Absolute convergent, Find out if each of the subsequent series are absolute...

Find out if each of the subsequent series are absolute convergent, conditionally convergent or divergent. Solution: (a) The above is the alternating harmonic ser

Emi, calculation of emi %

calculation of emi %

Show that 571 is a prime number, Show that 571 is a prime number. Ans: ...

Show that 571 is a prime number. Ans:    Let x=571⇒√x=√571 Now 571 lies between the perfect squares of  (23)2 and (24)2 Prime numbers less than 24 are 2,3,5,7,11,13,17,1

Regression and correlation analysis on income and ex, regression and correl...

regression and correlation analysis on income and expenditure

Why learn mathematics, Here we have considered the following points. 1. ...

Here we have considered the following points. 1. Mathematics is omnipresent, powerful and beautiful. 2. Mathematics is useful in all spheres of life. 3. Mathematics can al

Developing estimation skills in maths, DEVELOPING ESTIMATION SKILLS :  A s...

DEVELOPING ESTIMATION SKILLS :  A study was done with some Class 3 and Class 4 children of five village schools to gauge how well they had understood the standard algorithms. The

Array -categories of multiplication, Array - when items are arranged in a ...

Array - when items are arranged in a regular rectangular pattern of rows and columns, counting how many there are. (e.g., if there are 3 rows of 5 girls each, how many girls are t

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