Show sin(1), in degrees, is algebraic over the rationals

  • Thread starter Daveyboy
  • Start date
  • Tags
    Degrees
  • #1
Daveyboy
58
0

Homework Statement



show sin(1), in degrees, is algebraic over the rationals

The Attempt at a Solution



I want to find the minimal polynomial that has root sin(pi/180). Ya that's all I got.
 
Physics news on Phys.org
  • #2
Well, here's one way.

sin(pi/5) = (1/4)*\sqrt{ 10 - 2*\sqrt{5} }


Here's another.

sin z = ( e^{iz} - e^{-iz} )/(2i)
 

Similar threads

Back
Top