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IJSTR >> Volume 2- Issue 12, December 2013 Edition

International Journal of Scientific & Technology Research  
International Journal of Scientific & Technology Research

Website: http://www.ijstr.org

ISSN 2277-8616

Some Applicable Methods Of Approximating Basic Trigonometric Functions And Their Inverse Value

[Full Text]



Manaye Getu Tsige



Index Term: sine function, cosine function, co function, trigonometric identities, arithmetic sequence.



Abstract: This paper presents some applicable methods of approximating basic trigonometric functions and their inverse value. Methods are the best choice when a need arise to know first few digits after a decimal point and corresponding angle without spending time for immediate purpose. The ways of approximation are helpful for science and engineering field of study; they can be applied to get immediate solutions for practical problems which might be estimating, comparing and judging while operations of numbers. The assumption stated to carry out this work is; There exists certain function which can satisfies the condition defined as; if the sequence of some domain values within a domain of function forms an arithmetic progression, then the sequence of corresponding range values within a range of function will also forms an arithmetic progression. This assumption leads to the assumed generalized approximate equation and finally to the major findings. The major areas of study to carry out this particular work are arithmetic progression, sine function, cosine function and idea related to trigonometric functions such as trigonometric identities, co terminal angles, reference angle and co function definition. The objective is to contribute additional alternative knowledge to the Mathematical science. The findings of this paper are useful to derive general approximation formulae and other related findings that will be presented in the future.



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