Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

Expert Solution
Step 1: Given information

Given:  point A2,5Rotate by 35,45 around origin 0,0.  

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Method: 

Find the angle of rotation. 

Use Rotation matrix, R for anticlockwise rotation of the given point (x, y) by angle θ,  around origin (0, 0)

x'y'=RθxyWhere,Rθ = cosθ-sinθsinθcosθ 

 

 

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