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If you are going to do anything with imaginary numbers or X-Y trig, I would avoid an 83 and go with an 86 or 89.
The TI-83s do their imaginary numbers as a power of e, not in the form of x+iy. Also, they are more oriented on radians, where the 86 is more versatile by allowing radians or degrees interchangeably.
This probably won't make a difference if you don't do anything with electronics, but if you do, avoid an 83.
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This is just wrong. The 83 has an option right in the "Mode" menu to display imaginary numbers as a +bi or as re^(theta*i). There is also an option in the same menu to switch between radians and degrees. This is on my TI-83. Not even TI-83+ or TI-84 or TI-84 Silver Edition or TI-84 Yellow Pokemon edition or whatever else they've decided to release.
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Maybe I'm just old, but I thought the original TI-84 was the precursor to the TI-85, much like the TI-81-> TI-82->TI-83?
So I guess they're recycling calc names? That's gotta be confusing on ebay.
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I remember looking this up a while ago. There has never been a TI-84 before the current one. The TI-85 was the first of its class. And if there was a TI-84, it was so long ago I've never seen one, and all the "new" TI-84 listings on ebay will completely outflood the 1 or 2 people who still have the "old" TI-84 (I'm still not admitting that it exists) and want to sell it.