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REPORTS ON THE STATE OF SCIENCE, ETC. 



The values of sin 6 and cos for 9 from 20-0 to 40-0 radians by 0-2 intervals were 

 required in the computation of the Sine and Cosine Integrals, Si {x) and Ci (x) over 

 thiB range of the argument. The tables were calculated from the formuJsB for Sin 

 (x+a) and Cos (x + a). By this means it was possible to check the results for a 

 particular value of the argument from those previously obtained. All the calculations 

 were carried to eighteen places of decimals : in very rare cases will the error in the 

 fifteenth place exceed half a unit. 



Sines and Cosines (9 in eadians) — contd. 



