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On the Geometrical Investigation of the Circular Functions of 3θ and 5θ

Published online by Cambridge University Press:  15 September 2014

A. H. Anglin
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Extract

1. Let the <PAB be θ, where P is a point on the arc of a semicircle described on AB of which O is the middle point. Then making

<OPC = <OPA, the <PCB = 3θ.

Since the triangles APC, OPC are similar, we have

We shall express each of the ratios sin 3θ/sin θ, cos 3θ/cos θ, etc., as a function of AC/OC.

Type
Proceedings
Information
Proceedings of the Royal Society of Edinburgh , Volume 21 , 1897 , pp. 453 - 456
Copyright
Copyright © Royal Society of Edinburgh 1897

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