sinking, synching

The words sinking, synching sound the same but have different meanings and spellings. Why do sinking, synching sound the same even though they are completely different words?

The answer is simple: sinking, synching are homophones of the English language.

sinking
  1. :: verb

    Present participle of sink.

  2. :: noun

    The act or process of sinking.

synching
  1. :: verb

    Present participle of synch.

Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License and Wordnik.

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About Homophones

Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.

If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").