Given points (r1, θ1) and (r2, θ2) in polar coordinates,obtain a general formula for the distance between them. Simplifyit as much as possible using the identity cos2θ + sin2θ = 1.Hint: Write the expressions for the two points in Cartesiancoordinates and substitute into the usual distance formula.

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 73AP: If the polar coordinates of a point are (r,)and its rectangular coordinates are (x,y) , determine...
icon
Related questions
Question

Given points (r1, θ1) and (r2, θ2) in polar coordinates,
obtain a general formula for the distance between them. Simplify
it as much as possible using the identity cos2θ + sin2θ = 1.
Hint: Write the expressions for the two points in Cartesian
coordinates and substitute into the usual distance formula.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Vector basics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning