Problem
Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, and $A$ is in quadrant 4 . Fraction answer
Solution
Step 1 ：We are given that \(\tan (A) = -\frac{11}{60}\) and we are asked to find \(\tan (2 A)\).
Step 2 ：We know that the formula for \(\tan (2 A)\) is \(\frac{2 \tan (A)}{1-\tan^2 (A)}\).
Step 3 ：Substituting \(\tan (A) = -\frac{11}{60}\) into the formula, we get \(\tan (2 A) = \frac{2 \times -\frac{11}{60}}{1-(-\frac{11}{60})^2}\).
Step 4 ：Solving the above expression, we find that \(\tan (2 A) = -0.37941937338315607\).
Step 5 ：Thus, the final answer is \(\boxed{-0.37941937338315607}\).
