How much trig should I know before taking calculus based physics?

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Discussion Overview

The discussion revolves around the level of trigonometric knowledge required before taking a calculus-based physics course. Participants share their perspectives on which trigonometric concepts and identities are essential for success in the course, considering both theoretical and practical applications.

Discussion Character

  • Homework-related
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about the necessary trigonometric knowledge, specifically asking if they should know trigonometric equations and various formulas.
  • Another participant suggests that mastering the basic properties of a right triangle is important, implying that this foundational knowledge may suffice.
  • Some participants indicate that knowing a few basic trigonometric identities is adequate, while others emphasize the importance of being aware of more complex identities and knowing where to find them when needed.
  • A later reply mentions that while not all identities need to be memorized, familiarity with them and practice in recognizing standard integrals is crucial for handling calculus-based physics problems.
  • One participant advises asking the professor for guidance and suggests that understanding the math methods used in homework is essential for success on tests.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the exact level of trigonometric knowledge required. Some believe basic knowledge is sufficient, while others suggest a broader understanding is beneficial. The discussion reflects varying opinions on the necessity of memorizing identities versus knowing how to access them.

Contextual Notes

Some participants highlight the potential for encountering complex trigonometric problems in calculus-based physics, indicating that the discussion may depend on the specific curriculum and teaching style of individual professors.

annoyinggirl
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I'm taking my first semester of calculus based physics next week. How much trig should I know? I know the basics and inverse trig functions and stuff but should i know about trignometric equations, double angle and half angle formulas, product-to-sum and sum-to-product formulas?

I passed both calculus 1 and calculus 2.
 
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You are all set...presumably you did well in algebra as well...that is important. Master the basic properties of a right triangle.
 
I think what you know might be enough.
 
For me, it is enough that I know there are all sorts of trig identities. I do remember a few very basic ones. When I come across some tricky trig which I cannot handle with what I remember, I just go to http://en.wikipedia.org/wiki/List_of_trigonometric_identities. Of course, if you are going to be given some problems which you have to solve without using any help whatsoever, that is not helpful. One way to deal with that is memorize Euler's formula, which is very simple. Then you can easily derive most of trig identities from it, as shown here: http://en.wikipedia.org/wiki/Euler's_formula#Relationship_to_trigonometry
 
annoyinggirl said:
I'm taking my first semester of calculus based physics next week. How much trig should I know? I know the basics and inverse trig functions and stuff but should i know about trignometric equations, double angle and half angle formulas, product-to-sum and sum-to-product formulas?

I passed both calculus 1 and calculus 2.

You don't actually have to know all those trig identities and formulae but you do need to be aware of them and know where you can find them when you need them. Way down the line there are endless identities and transforms you will need to be familiar with but they come in bite sized portions as you progress.
The worst thing about calculus based physics can be recognising the standard integrals when they turn up with odd symbols and constants in them. Practice will help.
 
Ask your professor! Also, cover your homework very well. If a particular math method is used in your homework, assume it will be on the test. It's rare to get a professor that will throw you a curve ball without warning.
 

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