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

Conic-section , How will you find the vertex of a parabola given in 2nd de...

How will you find the vertex of a parabola given in 2nd degree form (the axis of parabola is not parallel to coordinate axes)? Ans) Write the equation in type of standard form.

Limit problem, limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

limit x-a/|x-a| equals x-a [a]a [b]0 [c]-a [d]none 0f these

Find sampling interval - horizontal and vertical asymptote, In a digital fi...

In a digital filter, one of the parameters in its difference equation is given by the formula a) Show that the above formula has one horizontal and one vertical asymptote.

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

Young entrepreneur, As a creative and innovative entrepreneur, we are requi...

As a creative and innovative entrepreneur, we are required to invent or improvise a product or service that benefits the society and the economy, so what do you think is it?

Word problem, A jet flew at an average speed of 480mph from Point X to Poin...

A jet flew at an average speed of 480mph from Point X to Point Y. Because of head winds, the jet averaged only 440mph on the return trip, and the return trip took 25 minutes longer

Closure : Activity 5.4, A classmate mixes 2 drops of red food coloring for ...

A classmate mixes 2 drops of red food coloring for every 4 drops of blue food coloring. Create a ratio table with 5 entries to represent this situation. Write the entries of the ra

Finding length and height with volume and width?, I figured out the volume ...

I figured out the volume and the width, but I have no idea how to use that information to get the height and the length!

Coordinate geometry, find the value of x for which the distance between the...

find the value of x for which the distance between the points p(4,-5) and q(12,x) is 10 units

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