1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Find a,b,c

  1. Jan 11, 2008 #1
    find a,b,c

    a+b+c=180

    tana+tanb+tanc= sq.(3)
     
  2. jcsd
  3. Jan 11, 2008 #2
    Not too sure if this is solvable in general as you only have 2 equations but 3 unknowns. Are there any other equations/constraints that you didn't post up?

    Generally, you need n equations/constraints to solve for n unknowns.
     
  4. Jan 11, 2008 #3
    Sure it shouldn't say a+b+c=90?
    Because then we could use
    [tex] tan(30^{\circ}) = \frac{\sqrt{3}}{3}[/tex]
    and get the correct result.
     
  5. Jan 11, 2008 #4
    J.D you could also ask shouldn't it be a+b+c=180 and tg(a)+tg(b)+tg(c)=3sqrt3, cause we can use: tg(60)=sqrt(3).
     
  6. Jan 11, 2008 #5
    That also makes sense. I really feel that there is something wrong with the original question and have my doubts whether or not there even exist a solution. I have to admit though that I haven't made any serious attempts to prove it.
     
  7. Jan 11, 2008 #6
    A theory can be used
    Is

    if
    a+b+c=180
    then tanget a + tanget b + tanget c = tan a tanb tanc


    1)
    tanget a + tanget b + tanget c = sq.3
    2)
    tan a tanb tanc= sq.3
    3)
    ????????????????
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?