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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

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 ha...

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Main Authors: Muhammad, Noor, Khan, Hidayatullah, Sarmin, Nor Haniza, Zeb, Aurang
Format: Article
Published: Malaysian Mathematical Society 2013
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/40527/
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spelling my.utm.405272017-02-15T06:13:38Z http://eprints.utm.my/id/eprint/40527/ 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 Khan, Hidayatullah Sarmin, Nor Haniza Zeb, Aurang Q Science 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". Malaysian Mathematical Society 2013 Article PeerReviewed 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
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science
spellingShingle Q Science
Muhammad, Noor
Khan, Hidayatullah
Sarmin, Nor Haniza
Zeb, Aurang
Expansion of COS N Theta and SIN N Theta in terms of cosines and sines of multiple of theta by using noor's triangle
description 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".
format Article
author Muhammad, Noor
Khan, Hidayatullah
Sarmin, Nor Haniza
Zeb, Aurang
author_facet Muhammad, Noor
Khan, Hidayatullah
Sarmin, Nor Haniza
Zeb, Aurang
author_sort Muhammad, Noor
title Expansion of COS N Theta and SIN N Theta in terms of cosines and sines of multiple of theta by using noor's triangle
title_short Expansion of COS N Theta and SIN N Theta in terms of cosines and sines of multiple of theta by using noor's triangle
title_full Expansion of COS N Theta and SIN N Theta in terms of cosines and sines of multiple of theta by using noor's triangle
title_fullStr Expansion of COS N Theta and SIN N Theta in terms of cosines and sines of multiple of theta by using noor's triangle
title_full_unstemmed Expansion of COS N Theta and SIN N Theta in terms of cosines and sines of multiple of theta by using noor's triangle
title_sort expansion of cos n theta and sin n theta in terms of cosines and sines of multiple of theta by using noor's triangle
publisher Malaysian Mathematical Society
publishDate 2013
url http://eprints.utm.my/id/eprint/40527/
_version_ 1643650498143715328
score 13.250246

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