SciencePhysicsQ&A LibraryGiven 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.

Question

Given points (r_{1}, θ_{1}) and (r_{2}, θ_{2}) in polar coordinates,

obtain a general formula for the distance between them. Simplify

it as much as possible using the identity cos^{2}θ + sin^{2}θ = 1.

Hint: Write the expressions for the two points in Cartesian

coordinates and substitute into the usual distance formula.

Expert Solution

University Physics Volume 1

18th Edition

ISBN: 9781938168277

Author: William Moebs, Samuel J. Ling, Jeff Sanny

Publisher: OpenStax - Rice University

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University Physics Volume 1

Vectors. 73AP

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