Let `theta in ( 0, pi/4)` and `t_1 = (tan theta)^(tan theta)`,`t_2 = (tan theta)^(cot theta), t_3 = ( cot theta)^(tan theta), t_4=(cot theta)^(cot theta)`, then

Explanation

To solve the problem, we need to analyze the given expressions for \( t_1, t_2, t_3, \) and \( t_4 \) based on the properties of the tangent and cotangent functions in the interval \( (0, \frac{\pi}{4}) \).

### Step-by-Step Solution:

1. **Define the expressions**:
- \( t_1 = (\tan \theta)^{\tan \theta} \)
- \( t_2 = (\tan \theta)^{\cot \theta} \)
- \( t_3 = (\cot \theta)^{\tan \theta} \)
...