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Development of sn x, cn x, dn x, by means of their addition theorems
Published online by Cambridge University Press: 20 January 2009
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Taking the three addition theorems and clearing away the fractions,
Let
Substitute in (1) (2) (3) the expansions for sinx, siny, 
cosx, cosy, 
, dn x, dn y, 
, and then pick out the coefficients of y in (1), (2), (3). Then equate the like powers of x in the resulting series.
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- Copyright © Edinburgh Mathematical Society 1895
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