Volume 4 Number 3 (May 2014)
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IJAPM 2014 Vol.4(3): 155-158 ISSN: 2010-362X
DOI: 10.7763/IJAPM.2014.V4.274

Development of Trigonometric Formula for Sin4nθ and Cos4nθ Using Half Angle Identities as Mathematical Algorithm

Fe G. Dampil

Abstract—In this paper, a fast and reliable formula for simplifying Sin4nθ and Cos4nθ 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.

Index Terms—Mathematical algorithm, half angle identity, multiple angle formula, half angle formula, trigonometric identities.

F. G. Dampil is with the Malayan Colleges Laguna, Philippines (e-mail: fgdampil@mcl.edu.ph, fe_dampil@yahoo.com).

Cite: Fe G. Dampil, "Development of Trigonometric Formula for Sin4nθ and Cos4nθ Using Half Angle Identities as Mathematical Algorithm," International Journal of Applied Physics and Mathematics vol. 4, no. 3, pp. 155-158, 2014.

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General Information

ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
APC: 500USD
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca 
Abstracting/ Indexing: INSPEC(IET), CNKI, Google Scholar, EBSCO, Chemical Abstracts Services (CAS), etc.
E-mail: ijapm@iap.org

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