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

Answer

Expert–verified

Hide Steps

Answer

Thus, the final answer is $\boxed{-0.37941937338315607}$.

Steps

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 $\boxed{-0.37941937338315607}$.