Development of trigonometric formula for sin6nϴ and cos6nϴ using half angle identities as mathematical algorithm

Fe G. Dampil

doi:10.1117/12.3026689

8 April 2024 Development of trigonometric formula for sin⁶nθ and cos⁶nθ using half angle identities as mathematical algorithm

Fe G. Dampil

Author Affiliations +

Proceedings Volume 13090, International Conference on Computer Application and Information Security (ICCAIS 2023); 130900A (2024) https://doi.org/10.1117/12.3026689
Event: International Conference on Computer Application and Information Security (ICCAIS 2023), 2023, Wuhan, China

Abstract

Manipulating a mathematical equation is usually one of the common problems of students enrolled in mathematics course. For some, Mathematics is one of the most difficult courses. Contrary to this belief, Mathematics is a fun and enjoyable course if solving equations could be done in a short but understandable method. This paper developed, a fast and reliable formula that would simplify sin⁶nθ and cos⁶nθ using Half Angle Identities. This formula offers a simplified approach in simplifying sine and cosine function with exponent 6 to a function of cosine with exponent 1 with any value of n. From the algorithm of solving half angle identities the new formula will emerge.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Fe G. Dampil "Development of trigonometric formula for sin⁶nθ and cos⁶nθ using half angle identities as mathematical algorithm", Proc. SPIE 13090, International Conference on Computer Application and Information Security (ICCAIS 2023), 130900A (8 April 2024); https://doi.org/10.1117/12.3026689

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