Rational trig identities?

10102021, 04:42 PM
Post: #1




Rational trig identities?
Surprisingly (to me), tan(n * arctan(1/n)) is rational when n is an integer. However, I can't get Mathematica nor the Prime CAS nor the 50g in exact mode to express this formula as a rational expression. Am I missing something obvious (probably!) or are such simplifications beyond the abilities of CAS's?
An iterative program is shown at A348140 but no formula is given. Here is a translation for the 49g/50g (exact mode): Code:


« Next Oldest  Next Newest »

Messages In This Thread 
Rational trig identities?  John Keith  10102021 04:42 PM
RE: Rational trig identities?  Albert Chan  10102021, 06:21 PM
RE: Rational trig identities?  Albert Chan  10102021, 08:02 PM
RE: Rational trig identities?  Albert Chan  10122021, 04:05 PM
RE: Rational trig identities?  Albert Chan  10102021, 09:25 PM
RE: Rational trig identities?  John Keith  10112021, 01:08 PM
RE: Rational trig identities?  Albert Chan  10122021, 02:09 PM

User(s) browsing this thread: 1 Guest(s)