What is the period of #f(theta) = tan ( ( 3 theta)/7 )- sec ( ( 5 theta)/ 6 ) #?
If necessary, I would again edit my answer myself, for debugging.
the period of f( theta ), least possible
P = (7/3pi)L = (12/5pi)M.
If there is at least one term in the form
sine, cosine, csc or sec of
P = least possible ( P/2 not the period ).
integer multiple of
Multiply by the LCM of the denominators in
= (3)(5) = 15. Then
As 35 and 36 are co-prime K = 1, N = (35)(36),
L = 36, M = 35, and P = 84
If P is halved,
Graph, for one period,