Question about Philips 43PUS7009/12

What type of wireless headphones can be connected to this television?

No, the Philips 43PUS7009/12 TV does not support Bluetooth connection. It is therefore not possible to connect Bluetooth headphones directly to this TV. If you still want to use Bluetooth headphones, you would need to use a separate Bluetooth adapter kit such as the Avantree Audikast D4169, which connects to the TV via other audio outputs (e.g. Digital Optical, 3.5mm Auxiliary or RCA).