What is the importance of trigonometry in physics?

Answer 1

The easiest way is physics, as does most of the real world, deals with vectors.

You are use to saying: 1 + 1 = 2 and the product of 2 and 3 is 6.

But what is 1 North + 2 South? It's 1 South. While that's an easy one, not everything lines up on an easy axis.

Vectors, unlike scalars, have both a magnitude and a direction. Often times you have to do operations to them, which you need a fundamental understanding of trigonometryfor.