How Much is Trig Used in Maths Outside of Calculus?

AI Thread Summary
Trigonometry is essential in various fields of mathematics, particularly in differential equations, vector calculus, and certain aspects of linear algebra, where it is frequently applied in transformations and rotations. Despite some negative experiences with the subject, it is emphasized that trigonometry is a foundational component of mathematics, with significant applications in science, such as optics. The discussion highlights the importance of mastering challenging topics like trigonometry, as they are ubiquitous in problem-solving across different mathematical contexts. While the geometric aspects of trigonometry are acknowledged, the focus is primarily on its functional applications, particularly in dealing with periodic functions. Overall, proficiency in trigonometry is crucial for success in advanced mathematics and related fields.
SF49erfan
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My trig. is so-so (I honestly hated it) and just curious how much it's used and needed in other maths? Thanks.
 
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As an Undergrad, here are the math courses I've taken:

Diff EQ - Used trig nonstop
Linear Algebra - not much trig, only once we got to transforms (rotations)
Vector Cal - lots of trig
 
It is used and needed a lot. Of all the pre-calculus topics, trig is the most important one.
 
SF49erfan said:
I honestly hated it
You really need to change that.
 
Somebody who hates trig either:
1) Didn't understand it
2) Had a bad teacher/class
Trigonometry is one of the most beautiful subjects of mathematics and science. It's a very ancient piece of mathematics, but very important. I think I'd like to call it one of the major achievements of scientists. Seriously, if you see everything you can do with trig and all the application it has, it is hard not to be impressed.
 
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Very much both IN mathematics and in other fields which rely on mathematics. Optics is one part of science and technology in which Trigonometry is extensively in action.

What a student really hates is restricted time in which to earn a grade, and the effort to relearn and maintain the concepts and skills while trying to learn more... also for a grade under another time constraint.
 
SF49erfan said:
My trig. is so-so (I honestly hated it) and just curious how much it's used and needed in other maths? Thanks.

Should make it a habit to get good at the things you enjoy least, both in the workplace and in adademia.
 
I didn't LIKE trig but it's certainly useful. I really wish I'd just memorized all the identities back in high school (/taken IB HL maths instead of goddamned maths studies) so I wouldn't have to stop and look them up every 5 seconds.

Anyway, it's ubiquitous. Same as algebra, it's just a fundamental thing that comes up constantly, you don't really think of it as "trigonometry" as a separate subject or thing, it's just part of solving various problems. Plus most of the time it makes things easier to solve anyway if they're based off periodic functions and stuff, or to represent complex things in the trig form (forget what it's actually called).

That said, how much of it is triangles vs periodic functions varies. Generally it's not so much the geometric stuff as it is the functions that crop up constantly (although sometimes the former does show up depending on the problems).
 

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