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

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 \(\boxed{2.472066162365221}\)