The minimum value of n for which tan^-1 n/π > π/4, n ∈ N, is valid is 5.

Question

State True or False for the statement:

The minimum value of n for which tan^-1 n/π > π/4, n ∈ N, is valid is 5. 

Answer 1

False

As, tan is an increasing function, so applying tan on both sides

we get,

⇒ n > π

⇒ n > 3.14

As, n is a natural number, so least value of n is 4.