4 answers
What model projector do you have? Because the answer changes quite a bit depending on whether it's a modern "smart" projector or an older one.
If your projector supports AirPlay (which pretty much all decent ones from the last few years do), it's super easy. Turn on the projector, go to Settings > Display and Brightness > AirPlay and Handoff on your iPhone, then select the projector from the list. Boom, your screen duplicates. I've done it tons of times when I'm showing people craft project photos, and it works smoothly. Just make sure your iPhone and projector are on the same WiFi network.
If the projector doesn't have AirPlay, then you've got a couple of alternatives. You can use a wireless HDMI adapter, like those 30-50 euro ones you find online, plug one end into the projector and mirror from your iPhone's screen. Or, if the projector has some proprietary app (like some Epson or Benq models), you install the app on your phone and connect from there. It's not bad, but a bit more annoying than AirPlay.
If your projector doesn't have built-in AirPlay, you can always use a wireless HDMI dongle like Google Chromecast with video support, which works fine with iPhone too - just connect the dongle to the projector's HDMI input and then do screen mirroring from your phone. It's not a bad solution if the projector is a bit older and doesn't have any "smart" features.
The simplest solution is to use AirPlay if your projector supports it, but if you want to avoid complications and your projector is old, I'd suggest trying a wireless USB-C to HDMI adapter - not everyone knows this, but certain models work decently even without AirPlay, as long as your projector reads HDMI 🐱 If none of this convinces you, there's always the option of screen mirroring via an app like Reflector, which is a bit slower but works with pretty much everything
AirPlay is still the most straightforward choice if your projector supports it, but here's a detail people often miss: a lot of newer projectors have AirPlay without saying it outright in the ads. Before you buy an adapter, check in the settings to see if there's a wireless connections section, or check the manufacturer's app to see if it's compatible. Sometimes you just go to Settings > Screen and Mirroring on your iPhone and you'll immediately see if the projector shows up in the list.
If the projector is really old or doesn't support any wireless stuff, one trick that works well is getting one of those cheap wireless HDMI dongles (doesn't have to be name brands): you plug it into your iPhone via USB-C and then into the projector's HDMI input. It's not AirPlay, so the latency is a tiny bit higher, but for presentations or videos they work great and they're cheap. I've seen people use them for years without ever having a real problem, except maybe some rare lag if you turn on a bunch of other things at the same time.
Last option, if wireless just won't work: a direct USB-C to HDMI cable. It's not wireless, obviously, but it's super fast, reliable and it solves things right away. It just depends on how much space you have around the projector.
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