The most common pronunciation of "tangent" in English is:
* TAN-jent
The emphasis is on the first syllable, and the "g" is soft, as in "gem."
However, in some contexts, a different pronunciation might be used:
* TAN-junt - This pronunciation is sometimes heard in mathematics, particularly when discussing the tangent function in trigonometry.
Ultimately, both pronunciations are considered correct. The best way to determine the appropriate pronunciation is to consider the context and the speaker's intended meaning.