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Find a reduction formula for

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Find a reduction formula for

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$fraction numerator sin h to the power of n minus 1 end exponent a x space cos h a x over denominator n end fraction plus fraction numerator left parenthesis n minus 1 right parenthesis over denominator n end fraction space I subscript n minus 2 end subscript$

$fraction numerator sin h to the power of n minus 1 end exponent a x space cos h a x over denominator a end fraction minus fraction numerator left parenthesis n minus 1 right parenthesis over denominator n end fraction space I subscript n minus 2 end subscript$

$fraction numerator sin h to the power of n minus 1 end exponent a x space cos h a x over denominator a space n end fraction minus fraction numerator left parenthesis n minus 1 right parenthesis over denominator n end fraction space I subscript n minus 2 end subscript$

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