Find $\tan (2 A)$, if $\tan (A)=-\frac{11}{60}$, and $A$ is in quadrant 4 .

Step 1 ：We are given that \(\tan A = -\frac{11}{60}\) and we need 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 ：So, the final answer is \(\boxed{-0.37941937338315607}\).