Tricky Sets and Trig Questions - Can You Solve Them?

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Discussion Overview

The discussion revolves around solving three mathematical problems, including a sets question and two trigonometric questions. Participants express varying levels of frustration and uncertainty regarding the solutions, particularly focusing on the trigonometric identities involved.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses frustration with a sets question, indicating difficulty in finding a solution.
  • Another participant suggests rewriting sin(3x) and cos(3x) in terms of functions of (3x/2) to demonstrate the identity sin(3x)/(1 + cos(3x)) = tan(3x/2).
  • A participant questions the handling of the "+1" in the suggested transformation, indicating uncertainty about its role in the equation.
  • A suggestion is made to apply double angle formulas to the trigonometric functions involved.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best approach to solve the problems, and there is ongoing uncertainty regarding the application of trigonometric identities.

Contextual Notes

Participants have not fully articulated the assumptions behind their approaches, and there are unresolved questions about the transformations suggested for the trigonometric functions.

guynoone
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Hi, I just have three question and I'm wondering how to solve them.

The first one is a sets question and it is literally infuriating trying to even contemplate it. I've asked many other people how to solve and no one knows how. I was hoping there would be a few geniuses that solve it here

The other 2 are just trig questions. I have a feeling at the back of my head that I knew how to solve them, but that's it.
 

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Hi guynoone! :smile:

Why couldn't you just type them out? :confused:

To show that sin3x/(1 + cos3x) = tyan(3x/2), just write sin3x and cos3x in terms of functons of 3x/2. :smile:
 
tiny-tim said:
Why couldn't you just type them out? :confused:

I hate looking for the correct symbols. I also wanted to test out the new scanner :)

To show that sin3x/(1 + cos3x) = tyan(3x/2), just write sin3x and cos3x in terms of functons of 3x/2.

Sorry, my mind's a bit fuzzy. What happens to that +1 then?
 
Why don't you try what he suggested and then see what happens?
sin(3x)= sin(2(3x/2) and cos(3x)= cos(2(3x/2) so tiny-tim is suggesting you use the double angle formulas.
 

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