Prove , if x is a rational number , x ≠ 0 then , tan(x) is not rational

  • Context: Graduate 
  • Thread starter Thread starter Maths Lover
  • Start date Start date
  • Tags Tags
    Rational
Maths Lover
Messages
67
Reaction score
0
prove , if x is a rational number , x ≠ 0 then , tan(x) is not rational

this theorem was proved by a mathematician called Lambert ,
I search for the proof , anyone knows it ?!
 
Mathematics news on Phys.org

Similar threads

MHB Rational Number: Proving $x+\dfrac{1}{x}$ is Rational
  • · Replies 1 ·
Replies
1
Views
1K
High School Proving the area formula for a rectangle for all positive real numbers
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad The Fundamental Theorem of Arithmetic and Rational Numbers
  • · Replies 6 ·
Replies
6
Views
2K
High School Extending the Fundamental Theorem of Arithmetic to the rationals
  • · Replies 35 ·
2
Replies
35
Views
6K
MHB We can find two irrational numbers x and y to make xy rational,true or false
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Five points in space with rational distances that are not co-linear
  • · Replies 13 ·
Replies
13
Views
4K
Undergrad How to prove that 2n=1 has no integer solutions
  • · Replies 6 ·
Replies
6
Views
3K
MHB Is 7 an irrational number in the set of integers?
  • · Replies 5 ·
Replies
5
Views
3K
High School Is this a finite argument of the countable infiniteness of the rationals?
  • · Replies 21 ·
Replies
21
Views
4K
High School Have I proved some part of Fermat's last theorem?
  • · Replies 15 ·
Replies
15
Views
3K