The sonic sunglasses were a device the Twelfth Doctor used to replace his sonic screwdriver after he abandoned it. They were worn as normal, black sunglasses with no visible difference to normal sunglasses. He used them to recall the TARDIS after it had been dispersed by the HADS "dispersal" function. He expressed concern that, whilst in the possession of Davros, they might have become scratched. (TV: The Witch's Familiar)
He wore them during his three week visit to Essex in 1138. He referred to them as "wearable technology". (TV: The Magician's Apprentice)
The Doctor used them again in the underwater base the Drum in the year 2119 to connect to the base's Wi-Fi to allow the base crew to view the trapped ghosts from his position. He also appeared to use them to scan the markings on the wall in an alien spaceship. (TV: Under the Lake) He later used them to project a hologram of his likeness as one of the ghosts and to erase the markings from everyone's minds. (TV: Before the Flood)
The Doctor attempted to use them to scare a group of Vikings, only for their leader to snap them in half. Clara later recovered half of them and used it to trick the Mire into believing her to be a threat to avoid, but failed to prevent a conflict when Ashildr declared war against them. After defeating the Mire, the Doctor reclaimed the broken half of the glasses kept by Odin and was able to hack their teleporter to send him back to their ship, and also reprogram a Mire medical kit to save Ashildr from death. (TV: The Girl Who Died)
The Doctor later either repaired or replaced the sonic sunglasses. (TV: The Woman Who Lived) He used them to unlock Osgood's chains in the early 21st century. (TV: The Zygon Invasion) After Osgood's glasses broke in half, the Doctor lent her his sonic sunglasses for a while. She used them to break into a van, using setting 137. The Doctor used them to trigger the memory wiping devices in the Black Archive. They apparently had a browsing history, which the Doctor advised Osgood not to view. (TV: The Zygon Inversion)
When the Doctor was trapped in his confession dial over the span of four and a half billion years, he used the sonic sunglasses to examine a crystalline structure blocking the exit home only to discover it was Azbantium. He then put them on when returning to Gallifrey and announcing that he was the Hybrid. (TV: Heaven Sent)
When confronting Rassilon, military reinforcements arrive and Rassilon believes the General sent for them. However, the Doctor puts on the sonic sunglasses which are beeping and states that the General didn't, he did. He wears them as Rassilon is overthrown, apparently using the sunglasses to broadcast the whole thing to the Time Lords. Clara later used them to spy on the Doctor and Me talking about the hybrid at the end of time. Afterwards she used them on the memory block the Doctor stole from the Time Lords to reverse the settings to cause it to erase his own memory. Before losing his memory of her, Clara tucks the sunglasses into the lining of his jacket. Later while searching for Clara by reconstructing the gaps in his memory, the Doctor used the sonic sunglasses to connect his guitar to a radio, making it act like an amplifier. The Tardis later gifts the Doctor with a new sonic screwdriver after they are reunited. (TV: Hell Bent)