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Revisited: arctan1 + arctan2 + arctan3 \(= \pi\)

A three-fold construction is given for constructing the angles on the left side of the identity. The geometry of the construction is then used to prove the identity.

Old Node ID: 
1348
Author(s): 
Michael W. Ecker (Pennsylvania State University, Wilkes-Barre Campus)
Publication Date: 
Monday, December 11, 2006
Original Publication Source: 
College Mathematics Journal
Original Publication Date: 
May, 2006
Subject(s): 
Geometry and Topology
Plane Geometry
Triangles
Flag for Digital Object Identifier: 
Publish Page: 
Furnished by JSTOR: 
Rating Count: 
28.00
Rating Sum: 
82.00
Rating Average: 
2.93
Author (old format): 
Michael W. Ecker
Applicable Course(s): 
2.2 Trigonometry
Modify Date: 
Monday, December 11, 2006
Average: 3 (28 votes)

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