Re: Simple, but a bit hard, Trigonometry problem.


/ Phil Carmody :
quasi <quasi@xxxxxxxx> writes:
Conjecture 1:

Let r,s,t be integers such that gcd(rs,t)=1, and let a=sin(r),
b=sin(s), c=sin(t). Then c _cannot_ be expressed as a polynomial in
a,b.

What if t is 0?

Then the gcd(rs,t)=1 would be false, so the statement "Let r,s,t be
integers such that gcd(rs,t)=1" would be false too, so the implication
would be true.
Now it remains to show this for t not 0....

I had 1 problem now i have 3:-( (the original, the polynomial thing
and the conjectures)

.