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.
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.
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 30P: Two points in the xy plane have Cartesian coordinates (2.00, 4.00) m and (3.00, 3.00) m. Determine...
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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.
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