I deleted from photos from my phone then five months latter they disappeared from my cloud storage

Normally they would delete from iCloud as soon as you deleted from your device and then be recoverable for approximately 30 days. Since they didn't delete immediately I'm not sure whether they will still be in Recently Deleted or not. You can use an internet browser and log into www.icloud.com and go to the Photos app there and then click on. Recently Deleted in the sidebar.

Also see the following information about how it is designed to work.

iCloud Photos is a syncing service. Any photo you delete from a device where iCloud Photos is turned on will also be deleted from iCloud and from any other device connected to iCloud Photos. You can potentially reduce the storage space required on a device by turning on Optimize Storage. See the following Apple article for more information: Set up and use iCloud Photos - Apple Support

Apple does not currently offer cloud-only storage for photos. If that is what you want or need, you may want to explore 3rd party options such as Google Photos or Dropbox.

Another way that photos may be on iCloud (if you don’t have iCloud Photos turned on) is via a backup of an iOS device. The only thing you can do with a backup is use it to restore a device or set up a new device. The contents of backups are not viewable at iCloud.com and if you delete a photo from a device it will not be included in future backups and will be lost.

Fzit32 Said:

"I deleted from photos from my phone then five months latter they disappeared from my cloud storage"

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Troubleshooting Deleted Photos:

Loss of data is something you would have agreed to upon opening an Apple Account. So, if the following does not work, then they are gone. That's just the way it is :(

Four Tactics to Try:

A. Start here: If you're Missing Photos or Videos in the Photos app - Apple Support

B. Check iCloud, Directly:

For Photos: Go here, and see if they reside in iCloud: https://www.icloud.com/photos

C. Restore your iPhone from a Backup:

Have any backups of this iPhone prior to this occurrence? If so, restore your iPhone from one that has these photos (the most recent backup, ideally). If not, then take this as a learning experience, knowing to always back up your device for recovery purposes. Important: Back up you iPhone prior to performing this restoration, should anything go wrong from here on out.

D. Where Else to Check:

1. PC
2. PDA
3. eMail
4. Mac Device
5. Cloud Storage
6. Android Phone
7. USB Flash Drive
8. External Hard drive
9. Secure Digital Card
10. Compact Flash Card