Question
Use the addition formulas for tangent to simplify each expression.$$\frac{\tan \frac{\pi}{5}-\tan \frac{\pi}{30}}{1+\tan \frac{\pi}{3} \tan \frac{\pi}{20}}$$
Step 1
Step 1: We are given the expression $$\frac{\tan \frac{\pi}{5}-\tan \frac{\pi}{30}}{1+\tan \frac{\pi}{3} \tan \frac{\pi}{20}}$$ which is in the form of $\frac{\tan A - \tan B}{1 + \tan A \tan B}$. Show more…
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