If $\tan t=\frac{4}{9}$, what is $\tan (t-\pi) ?$
Enter the exact answer.
\[
\tan (t-\pi)=
\]
\(\boxed{\tan (t-\pi) = \frac{4}{9}}\)
Step 1 :Given that \(\tan t = \frac{4}{9}\)
Step 2 :We know that \(\tan (t-\pi) = \tan t\)
Step 3 :Substitute the given value: \(\tan (t-\pi) = \frac{4}{9}\)
Step 4 :\(\boxed{\tan (t-\pi) = \frac{4}{9}}\)