This one has got me scratching my head. Showing that if θ = 30, then Sinθ is rational is obvious, but how to show that If Sinθ is rational then θ =30 is not (to me, anyway).
Ideas:
Should I start with Sinθ=ba for a,b in Z, and attempt to get a=1, b=2, so that I can say theta=30 deg?
Or would contradiction be the right route here?
-Daon
Ideas:
Should I start with Sinθ=ba for a,b in Z, and attempt to get a=1, b=2, so that I can say theta=30 deg?
Or would contradiction be the right route here?
-Daon