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

Question

Accepted Answer

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}).

Answer

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}).

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

Answer

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