1 / a2 . 2- 2 



_ I / p sin Zip cos <p 



2 4~7^2TT" 

 \ cos (p ^ p sin <p 



1 / sin 2(p 



4 1 2 .2 

 \cos <psin <p 



= 1 



That is, 



Thus, from Equation B-3, 



lim(Ui)^ = 1 



W' - nIT 



tan^I' - (y^ — - 



- (if)' 



(if) 



But sec^ = ±Vl + tan ^, and since -77/2 ^^ ^ff/2, 



sec* = + yi + tan * 

 From Equations 7, B-1, B-7, and B-9, 





CO -• nTT 



/ \2 Xi , n^ 

 = {nit) Sri + — 



y 



-/ 



1 .2 nrr 



2 ^ H ~ 



tan* + (1+tan^*) 



-(f) 



1/2 



(^) 



1 + ( 4- 3^ - 

 2 ^ M 



-(fV 



n \ 2 



(f) 



^1/2 



N 



/ 



y^ 



(B-7) 



(B-8) 



(B-9) 



(B-10) 



(B-11) 



64 



