When people are taught trigenometry in school it is usually just for finding the angles of a triangle. But the sine and cosine functions are actually waves if you were to draw them on a graph. Acoustics is sound waves, and by mapping sound waves into trigonometric waves we can do calculations on them like addition.
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Since ancient times.
I think you need to understand algebra 2 before you begin trigonometry
plane trigonometry spherical trigonometry
The main kinds are plane trigonometry and solid trigonometry. The latter will include trigonometry in hyper-spaces.
Trigonometry is engineering math, but If you are going to study something in physics, or science, (basically this is "applied science"), you will need lots of calculus. calculus appears a lot in "Stargate".