part 1 of 5
Let
\[
\cos \theta=\frac{3}{8}, 0< \theta< \frac{\pi}{2}
\]
Find tan $\theta$.

Answer

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Answer

Final Answer: The value of $\tan \theta$ is $\boxed{2.472066162365221}$

Steps

Step 1 ：Let $\cos \theta=\frac{3}{8}$, where $0<\theta<\frac{\pi}{2}$

Step 2 ：We know that $\cos \theta = \frac{adjacent}{hypotenuse}$ and $\tan \theta = \frac{opposite}{adjacent}$

Step 3 ：We can use the Pythagorean theorem to find the length of the opposite side, which is $\sqrt{hypotenuse^2 - adjacent^2}$

Step 4 ：Then we can calculate $\tan \theta$

Step 5 ：Final Answer: The value of $\tan \theta$ is $\boxed{2.472066162365221}$