Converting coordinates Express the following polar coordinates in Cartesian coordinates.
In this problem we have to express the given polar coordinates ( 1, ) in cartesian coordinates.
To convert polar coordinates ( r , to Cartesian coordinate (x , y) is ;
X = r cos(
Y = r sin(
Given polar coordinates ( r , = ( 1, )
So , x = r cos(= (1) cos() = cos()
= - cos() , since cos() = -cos(x)
= -, since cos() = .
y = r sin( = (1) sin() = sin()
= sin() , since sin() = sin(x)
= , since sin() = .
Hence the cartesian co-ordinates are ( x, y) = ( , )
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
This full solution covers the following key subjects: coordinates, cartesian, Converting, express, polar. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Converting coordinates Express the following polar coordinates in Cartesian coordinates.” is broken down into a number of easy to follow steps, and 10 words. The full step-by-step solution to problem: 16E from chapter: 10.2 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Since the solution to 16E from 10.2 chapter was answered, more than 265 students have viewed the full step-by-step answer.