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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Malaysian Mathematical Society
2013
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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 |
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Universiti Teknologi Malaysia |
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UTM Library |
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Institutional Repository |
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Asia |
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Malaysia |
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Universiti Teknologi Malaysia |
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UTM Institutional Repository |
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http://eprints.utm.my/ |
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Q Science |
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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 |
13.251813 |