Prove that
( x^100) / e^(x^70) + e^(x^70) /(x^100) > 2
for every positive x.
Prove that
cos 20 =/= a/b where a and b are integers .
Nice questions i did them i just wanted to see other solutions.
This should be easy for a lot of you i looked around the forum there are a lot of beautiful mathematicians around.