TABLE FOR FOUMIKG THE PRODUCTS OF GIVEN NUMBERS BY THE 

 SINE OR COSINE OF A GIVEN ANGLE. 



This table is formed for the especial purpose of facilitating the formation of the 

 products (t'..?.3) sin 3(j, (r.c.3) cos 3/, etc., (p.s.l) sin <j, (p.cl) cos «/, for entire degrees 

 cf g. It is so arranged that the required products can be taken out at sight. 

 Supposing the number to be given in seconds and decimal fractions of a second, 

 we first seek the given angle at the top or bottom of the page, and then enter one 

 of the first nine lines of the table with the fraction part of the second, interj>olating 

 for the hundredths. We then add the result mentally to the number corresponding 

 to the entire seconds. The algebraic signs at the sides of the angles are those of 

 the sines or cosines corresponding to the angle and to the column above or below. 

 If the number does not exceed 3" we can enter the table as if it were ten times 

 gi'eater, and remove the decimal point one place to the left in the result. 



For example, to find the value of 



21". 67 sin 280' + 2". 25 cos 280° 



we find the angle 280° at the bottom of a pair of columns, the right hand one being 

 the sine column. Entering this column with 0.67 as the argument, we find 0.(56. 

 Entering with 2.1, we find 20.68, to which adding 0.66, we have 21".34 as the 

 sine product. Entering the otiier column with 22.5, and moving the decimal point, 

 we find 0".39 for tlie cosine product. Noticing the algeln-aic signs on each side 

 of 280°, we find the result to be — 21".34 + 0".39 = — 20".95. 



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