Prove the following inequality: $tan \, 1>\frac{3}{2}$.
Problem
Source: III International Festival of Young Mathematicians Sozopol 2012, Theme for 10-12 grade
Tags: algebra, Trigonometric inequality
Source: III International Festival of Young Mathematicians Sozopol 2012, Theme for 10-12 grade
Tags: algebra, Trigonometric inequality
Prove the following inequality: $tan \, 1>\frac{3}{2}$.