- #1
Integrating Trigonometric Functions: How to Remember and Use Identities?
- Thread starter athrun200
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- Integrals
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Homework Help Overview
The discussion revolves around integrating trigonometric functions and the challenges participants face in remembering and utilizing various identities. The context includes specific homework problems related to these topics.
Discussion Character
- Exploratory, Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Participants express difficulty in integrating functions and remembering trigonometric identities. Some inquire about strategies for memorization and the relevance of specific identities to their problems.
Discussion Status
Participants are sharing resources and discussing common identities that may be useful for integration. There is an ongoing exploration of which identities are essential for specific problems, but no consensus has been reached on memorization techniques.
Contextual Notes
Some participants mention specific problems (e.g., parts 10a and 10b) and express uncertainty about the identities required for these tasks. There is a reference to external resources for hyperbolic identities, indicating a reliance on additional materials for clarification.
- #2
- #3
gb7nash
Homework Helper
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10a looks fine.
For 10b, take advantage of the following trig identity:
cosh2 x = [1 + cosh (2x)]/2
For 10b, take advantage of the following trig identity:
cosh2 x = [1 + cosh (2x)]/2
- #4
athrun200
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gb7nash said:
Oh no, I know this identity, but there are too many identity and formula so I can't remember it before you tell me. How can I make sure that I remember all of them? Or where can I check these useful identity?
- #5
gb7nash
Homework Helper
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http://planetmath.org/encyclopedia/HyperbolicIdentities.html
As far as knowing which ones to remember, it would depend on what you're trying to do and what class you're in. For a lot of integral problems, the identities I usually see are sin2 + cos2 = 1 (and any other pythagorean identities), and half/double angle formulas.
As far as knowing which ones to remember, it would depend on what you're trying to do and what class you're in. For a lot of integral problems, the identities I usually see are sin2 + cos2 = 1 (and any other pythagorean identities), and half/double angle formulas.
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- #6
athrun200
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gb7nash said:
Thanks so much.
Shall we move on #2?
I just have some problems.
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