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 \(\boxed{-0.37941937338315607}\).

From Solvely APP
Source: https://solvelyapp.com/problems/8813/

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