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Homework Help: Trig, find tan A and tan B (no numbers given)

  1. Feb 25, 2013 #1
    1. The problem statement, all variables and given/known data

    Find tan A, tan B

    I have a right angle triangle. Length a = t, length b = k, hypotenuse = p.

    3. The attempt at a solution

    Usually I would just use the normal rule of [tex]\tan a =\frac{opp}{adj}[/tex] but how can I get an answer here? I can't just say [tex]\tan a =\frac{t}{k}[/tex] because this makes no sense.

    The only thing I can think of is say the answer is 1. Or tan a = 45, tan b = 45.
  2. jcsd
  3. Feb 25, 2013 #2
    If this is really all you were given, then that is all you can do. The answer cannot possibly be 1 because there is nothing in the problem barring you from making t=2 and k=1, making tan A = 2 (indeed, you could fix it so tan A = any number you want).
  4. Feb 25, 2013 #3

    Question 6 is the one relating to my original question.
  5. Feb 25, 2013 #4
    Seems to me like all you can do it get the quotients you gave in the first post :)
  6. Feb 25, 2013 #5
    I think your teacher was trying to get you to show that

    tanA = 1/tanB

    tanA = t/k

    tanB = k/t
  7. Feb 28, 2013 #6
    This. :wink:
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