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


/ Thomas Mautsch :

Use the formulas
.................................
.................................
.................................
= sin(73 deg) sin(39 deg) / sin(39 deg)

= sin(73 deg)

q.e.d.


Very nice.... Thanks!


So since you didn't use any universal theorem for trigonometry about
such cases(i'm not aware of any, but thought there might be) there
must be no law to find relations between various Sin(x°) for various
integers x's.
It would be interesting to have a procedure to find relations like
the original problem i gave, for example if we know that:
a1= Sin(E1)
a2= Sin(E2)
a3= Sin(E3)
a4= Sin(E4)
,with E1,E2,E3,E4 in degree units and integers.
......to find a polynomial relation between a1,a2,a3,a4.

Or generalizations for Cos(),Tan() too and for more a_n....

I guess there isn't such a theory to find such relations....?!?!

.