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Expansion of COS N Theta and SIN N Theta in terms of cosines and sines of multiple of theta by using noor's triangle

Muhammad, Noor and Khan, Hidayatullah and Sarmin, Nor Haniza and Zeb, Aurang (2013) Expansion of COS N Theta and SIN N Theta in terms of cosines and sines of multiple of theta by using noor's triangle. Menemui Matematik (Discovering Mathematics), 35 (1). pp. 49-55. ISSN 22317023

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Abstract

In the present study we introduced a triangle, like Pascal's triangle, to obtain directly the coefficients in the expansion of θ n cos and θ sin in terms of cosines and sines of multiple of θ , where n is any positive integer. This type of expansion is given by Datta et al. in which they have used the binomial theorem in order to obtain the coefficients therein. We name this triangle as "Noor's triangle".

Item Type:Article
Uncontrolled Keywords:pascal's triangle, binomial coefficients, de moivre's theorem
Subjects:Q Science
Divisions:Others
ID Code:40527
Deposited By: Liza Porijo
Deposited On:04 Aug 2014 15:47
Last Modified:15 Feb 2017 14:13

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