You would use the PTT connection, but you probably can't direct-connect. You need to know what the COS from the 2400 does. Measure it with a multimeter when receiving / not receiving a signal. Odds are it will have a voltage present during one state, and go to zero in the other. I seriously doubt it will be a simple open-collector transistor (as there would be no point to have that buried inside the radio).
On the other end, the PTT connection expects a switch closure - no voltage at all, just a contact. So you need to use a very small relay (like a reed relay) or transistor switch to emulate that. You would use the COS signal to trigger the relay or transistor.
The problem with relays, is depending on where that COS signal comes from it may not be able to supply enough current to trigger the relay. In which case you would have to use a high-impedance transistor switch circuit to prevent loading it down. Also, relays can generate a feedback voltage spike when the coil voltage is removed, be sure to put a diode across the relay coil so you don't fry something in the 2400! (The diode goes "backwards" across the relay so no current flows through it normally - arrow points to +VDC from the COS line.)
You also need to be sure you supply the right signal - if the COS goes active (voltage) when you are receiving a signal, then you use a normally-open relay contact or a simple transistor switch. They will "close" when signal is present. If the voltage goes the other way - to 0V when signal received - you use normally-closed relay contacts or would need a slightly more complicated transistor switch config to get what you are after. Also realize the simplest ways of reversing the signal (such as the N.C. relay contact) means if your receiver is turned off or dies, your transmitter goes on and stays on!
If you use a repeater controller, you may well not need any of this. They often have circuitry built in to handle this, you'd just wire the COS line to the controller. It would also have timers to unkey the transmitter if it gets stuck on for too long.
I think someone mentioned it before, Repeater Builder is an excellent resource for info on all kinds of repeater-related topics. They may not have an article on exactly the radios you are using, but they may have something related that could help. Interesting to read through in any case.
The Repeater Builder's Technical Information Page™