TRIGONOMETRY 



3.801 



tan x = 



2X 



The first three roots are: 



= o, 



= II9 ' 26 ^0> 



340.35 -rr: 



If x is large 



X n = HIT 



16 



rnr 



-f . . . . 



(Rayleigh, Theory of Sound, II, p. 265.) 



3.802 



tan x = 



gx 



The first two roots are: 



3.803 



The first two roots are: 



3.804 



The first seven roots are: 



- 9 



*i = o, 



#2 = 3-3422. 



(Rayleigh, 1. c. p. 266.) 



tan x = 



i -x 2 



Xi = O, 



x 2 = 2.744. 



(J. J. Thomson, Recent Researches, p. 373.) 



tan*=-^ 



Xi = O, 



X 2 = 1.834671% 



x 3 = 2.895071-, 



#4 = 3-92257T, 



# 5 = 4-93857T, 

 x 6 = 5-9489^, 



X7 = 6.9563T. 



(Lamb, London Math. Soc. Proc. 13, 1882.) 



3.805 



tan x = 



4- 



