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Coefficients and constants in the partial fractions of some trigonometric inverse functions
Abstract
This Paper extend the work done by Daniel and Tella, [1] and Ogbereyivwe,
Emumejaye and Ekeh, [3] to trigonometric inverse functions. It determines the unknown constants and coefficients in resolving rational functions containing trigonometric inverse functions in their denominator, into the sum of its partial fractions equivalent by recursive method. For each of the cases of functions considered, a recursion formular was derived and the trend of these constants and coefficients were examined as n tends to infinity.
Emumejaye and Ekeh, [3] to trigonometric inverse functions. It determines the unknown constants and coefficients in resolving rational functions containing trigonometric inverse functions in their denominator, into the sum of its partial fractions equivalent by recursive method. For each of the cases of functions considered, a recursion formular was derived and the trend of these constants and coefficients were examined as n tends to infinity.
