Cofete is almost completely uninhabited part of the island with enormous, beautiful and completely untouched by man beach. In order to get there, first you have to head to the biggest resort on the south of the island: Moro Jable, about 1 hour from Caleta de Fuste via the motorway.
https://goo.gl/maps/qsLk65NtpJPTVAMd9
This super tourist town boasts many shops, restaurants and a 5km long beach.
If you do not want to stop there, set the navigation immediately to the vantage point in the mountain pass in front of Cofete, which can be reached by a gravel road from Moro Jable:
https://goo.gl/maps/sKfnKD2WfE3QQVmQA
From it you can admire the whole panorama of this small town by the ocean.
Next stop Cofete:
https://goo.gl/maps/Nd2AhHn2JkQF3Edy5
In Cofete itself, it is worth seeing the old cemetery (by the beach) and the Villa Winter.
https://en.wikipedia.org/wiki/Villa_Winter
In the town itself there is a nice local restaurant serving very good local cuisine:
https://goo.gl/maps/jRqUgUBiP9qK7pp67
On the way back, it is also worth visiting the lighthouse at the southern tip of the island:
https://goo.gl/maps/vsx3Qoc6V8UUf2qJ9
There is also a highly rated pub:
https://goo.gl/maps/pFeUNS7HoXazQ7Qd8
From Cofete we go home the same way we came here.