https://file.aiquickdraw.com/mathbot/file/1726680204585p5xyk3eu.jpg

The image you uploaded contains two mathematical expressions for \(R_{ino}\) and \(X_{ino}\) as follows:

\[
R_{ino} = \frac{\left(\frac{R}{2}\right)^2 Z_{o1} \tan^2 \theta}{\left(\frac{R}{2}\right)^2 + Z_{o1}^2 \tan^2 \theta}
\]

\[
X_{ino} = \frac{\left(\frac{R}{2}\right)^2 Z_{o1} \tan \theta}{\left(\frac{R}{2}\right)^2 + Z_{o1}^2 \tan^2 \theta}
\]

Given the values:
- \(R = 100\)
- \(Z_{o1} = 70\)
- \(\tan \theta = 0.561\)

Let's compute both \(R_{ino}\) and \(X_{ino}\). I'll calculate them now.The calculated values are:

- \( R_{ino} = 13.63 \, \Omega \)
- \( X_{ino} = 24.29 \, \Omega \)

Would you like any further clarifications or more details on these calculations?

Here are 5 related questions you might find interesting:
1. How does the parameter \(\tan \theta\) affect the values of \(R_{ino}\) and \(X_{ino}\)?
2. What is the physical significance of the parameters \(R_{ino}\) and \(X_{ino}\) in a circuit context?
3. How would changing \(R\) or \(Z_{o1}\) affect the results for \(R_{ino}\) and \(X_{ino}\)?
4. What happens when \(\tan \theta = 0\), and how do \(R_{ino}\) and \(X_{ino}\) behave?
5. Could you explore what happens when \(R = Z_{o1}\)?

**Tip**: Always ensure to track the units of parameters during calculations to avoid dimensional inconsistencies.

This problem focuses on calculating the values of Rino and Xino using the provided mathematical formulas in the context of electrical engineering. Given values are R = 100, Zo1 = 70, and tanθ = 0.561. The solution demonstrates the use of trigonometry and electrical parameters.

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