Question
Solve each problem.Find the exact value of $\tan (2 \alpha)$ given that $\sin (\alpha)=-4 / 5$ and $\alpha$ is in quadrant III.
Step 1
We need to find the value of $\tan(2\alpha)$. We know that $\tan(2\alpha) = \frac{2\tan(\alpha)}{1-\tan^2(\alpha)}$. To find this, we need to find the value of $\tan(\alpha)$ first. Show more…
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