# How do you find the value for tan[tan^-1(7.4)]?

By definition $\tan \left({\tan}^{-} 1 \left(7.4\right)\right) = 7.4$
Let $\alpha = {\tan}^{-} 1 \left(7.4\right)$
Then by definition $\alpha$ is the unique angle such that $\tan \alpha = 7.4$ and $- \frac{\pi}{2} < \alpha < \frac{\pi}{2}$.