### Instruction: If $\tan \alpha = 8$ and $\tan \beta = 7,$ then find $\tan (\alpha - \beta).$.### Response: I want to find $\tan (\alpha - \beta)$ using the given values of $\tan \alpha$ and $\tan \beta.$
One possible way to do this is to use the formula for the tangent of a difference of angles: $\tan (\alpha - \beta) = \frac{\tan \alpha - \tan \beta}{1 + \tan \alpha \tan \beta}.$