Tricky Sets and Trig Questions - Can You Solve Them?

  • Thread starter Thread starter guynoone
  • Start date Start date
  • Tags Tags
    Sets Trig
AI Thread Summary
The discussion centers around solving three challenging math problems, including one related to sets and two involving trigonometry. Participants express frustration with the complexity of the first problem and seek assistance from others. A suggestion is made to rewrite the trigonometric expressions using double angle formulas to simplify the equation sin(3x)/(1 + cos(3x)) = tan(3x/2). The conversation highlights the difficulty in finding the correct mathematical symbols and the desire to test new tools for solving these problems. Overall, the thread emphasizes collaboration in tackling tricky math questions.
guynoone
Messages
5
Reaction score
0
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.
 

Attachments

  • trig1.jpg
    trig1.jpg
    5.8 KB · Views: 400
  • trig2.jpg
    trig2.jpg
    3.7 KB · Views: 394
  • set.jpg
    set.jpg
    2.9 KB · Views: 369
Mathematics news on Phys.org
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.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Back
Top