Final answer:
The current Io is calculated using superposition by considering each source individually, turning off other sources, and adding up contributions. The equation I = Io cos² 0 lacks context, but Io could be isolated if I's value is known.
Step-by-step explanation:
To find the current Io in the network using superposition, one must consider each independent source (voltage or current source) in the circuit individually.
The contribution of each source to the current Io is calculated while all other independent sources are temporarily turned off (replaced by their internal resistance if possible, usually that means replacing voltage sources with a short circuit and current sources with an open circuit). This process is repeated for every independent source. Once we have the contribution from each source to the current Io, we sum all these contributions to get the total current Io due to all sources.
The given equation I = Io cos² 0 appears to be missing context, but if we are solving this equation for Io and we have information on I, we can rearrange it to Isolate Io. However, without additional context or an actual diagram of the circuit, providing an accurate step-by-step solution is not possible. If the relation between I and I allows substitution, then we would use that substitute and solve for Io.