doi: 10.7763/IJAPM.2014.V4.274
Development of Trigonometric Formula for Sin<sup>4</sup><i>nθ</i> and Cos<sup>4</sup><i>nθ</i> Using Half Angle Identities as Mathematical Algorithm
Fe G. Dampil
- the Malayan Colleges Laguna, Philippines
Abstract
In this paper, a fast and reliable formula for simplifying Sin<sup>4</sup><i>nθ</i> and Cos<sup>4</sup><i>nθ</i> using Half Angle Identities will be developed. This formula offers a simplified approach in simplifying sine and cosine function with exponent 4 to a function of cosine with exponent 1 with any value of n. From the algorithm of solving of half angle identities the new formula will emerge.
Keywords
- Mathematical algorithm
- half angle identity
- multiple angle formula
- half angle formula
- trigonometric identities
How to Cite
Fe G. Dampil, "Development of Trigonometric Formula for Sin<sup>4</sup><i>nθ</i> and Cos<sup>4</sup><i>nθ</i> Using Half Angle Identities as Mathematical Algorithm," International Journal of Applied Physics and Mathematics, vol. 4, no. 3, pp. 155-158, 2014. https://doi.org/ 10.7763/IJAPM.2014.V4.274
Copyright & License
Copyright © 2014 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).