Tan s / 1 + cos s + sin s / 1 - cos s = cot s + sec s csc s
tans sins
---------------- + ------------------ =
1 + coss 1 - coss
tanx(1- coss) sins(1+coss)
------------------------- + -------------------------- =
(1+coss)(1 - coss) (1+coss)(1 - coss)
(sins/coss)*(1-coss) sins(1 + coss)
------------------------- + ----------------------------- =
1 - cos^2s 1 - cos^2s
1 - cos^2s = sin^2s
sins((1-coss)/coss + ( 1 + coss) )
-------------------------------------------------------- =
sin^2s
(1-coss)/coss + (1 + coss)coss/coss
-------------------------------------------------- =
sins
( 1-coss + coss + cos^2s)/coss
----------------------------------------------- =
sins
( 1 + cos^2s)/coss 1 + cos^s
---------------------------- = ------------------- =
sins sinscoss
1/(sinscoss) + cos^2s/(sinscoss) = coss/sins = cots
1/sins * 1/coss + coss/sins 1/sins = cscs
cscs *secs + cots = cots + secs*cscs 1/coss = secs