Understanding Trig Identities: Sum and Diff. & Multiple Angle

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Discussion Overview

The discussion revolves around understanding trigonometric identities, specifically sum and difference identities and multiple angle identities. Participants explore methods of application and learning strategies related to these concepts, with a focus on both theoretical and practical contexts.

Discussion Character

  • Exploratory, Homework-related, Technical explanation

Main Points Raised

  • Some participants suggest that graphical representations and equations related to circles can aid in understanding trigonometric identities.
  • Others mention that practical applications in physics and engineering, such as the Law of Cosines and Law of Sines, are relevant for applying these identities.
  • One participant emphasizes the importance of practice, stating that solving numerous problems is essential for mastering the identities.
  • Another participant advises consulting resources like Wikipedia for a comprehensive list of trigonometric identities when results become complex.
  • There is a suggestion that direct help through a forum may be limited, and that seeking guidance from a teacher could be more effective.

Areas of Agreement / Disagreement

Participants express varying opinions on the best methods for learning and applying trigonometric identities, with no consensus on a single approach. Some emphasize practice and resources, while others highlight the limitations of forum-based assistance.

Contextual Notes

Participants note that understanding may depend on individual learning styles, such as preference for graphical versus algebraic approaches. There is also mention of the need for practice to internalize the identities, but specific methods or resources are not universally agreed upon.

tanisha89
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can anyone help me understand the following and how to apply them:

tig identities
sum and diff. indentities
multiple angle indentities

I'd really appreciate it. Thanx
 
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For understanding, some rely on equation for a circle; for many, graphical representations help to derive and then apply in theoretical exercises.

For practical applications, look to physics and engineering. Law of Cosines and law of Sines are often applicable. One of the Trigonometry books by Larson (and who else?) have some exercises for vectors that occur in physics.
 
it really only gets better by doing lots of problems that require them.

But really, if you're trying to solve something that involves trig, and the result is too ugly or irreducible, I would consult the wikipedia trig identity list.
 
I don't think anyone is going to be able to directly help or teach you trig through a forum. If you have a teacher, ask him/her. That's what I found worked, and like said before practice the problems. Have the idents next to you as you practice a variety of problems, evuntually you will learn and memorize them.
 

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