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

Example of developing an understanding, In class 1, the teacher had written...

In class 1, the teacher had written down the digits 0,1, ...., 9 on the board. Then she made all the children recite the corresponding number names. Finally, she made them write th

Calculus, sin(xy)+x=5y Find the derivative.

sin(xy)+x=5y Find the derivative.

Drawn to a circle with center o, From a point P, two tangents PA are drawn ...

From a point P, two tangents PA are drawn to a circle with center O.If OP=diameter of the circle show that triangle APB is equilateral. Ans:    PA=PB (length of tangents

Integer exponents, We will begin this chapter by looking at integer exponen...

We will begin this chapter by looking at integer exponents.  Actually, initially we will suppose that the exponents are +ve as well. We will look at zero & negative exponents in a

Algebra, If a^n+1 + b^n+1/a^n + b^n is the arithmetic mean of a and b then ...

If a^n+1 + b^n+1/a^n + b^n is the arithmetic mean of a and b then find n. Answer:Arithmatic mean of a,b is =(a+b)/2  from the problem (a+b)/2=(a^n+1 +b ^n+1)/(a^n+b^n)  then (a+

Inverse functions, We have seen that if y is a function of x, then fo...

We have seen that if y is a function of x, then for each given value of x, we can determine uniquely the value of y as per the functional relationship. For some f

Calculus, using 5 rectangles what is the area under a curve using the funct...

using 5 rectangles what is the area under a curve using the function f(x)=3x+4 and boundries [0,2]

Solid mensuration, what is the importance of solid mensuration?

what is the importance of solid mensuration?

Solid Mensuration, The two sides of a triangle are 17cm and 28cm long, and ...

The two sides of a triangle are 17cm and 28cm long, and the length of the median drawn to the third side is equal to 19.5 cm. What is the distance from an endpoint of the median to

Unionz, Need a problem solved

Need a problem solved

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