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Trig identity limit

  1. Sep 29, 2009 #1
    1. The problem statement, all variables and given/known data

    lim t3/tan32t
    t->0

    3. The attempt at a solution

    I am stuck I have alot of trouble with trig identities
     
  2. jcsd
  3. Sep 29, 2009 #2
    Do you know L'hôpital's rule? That might be the easiest way. If not, rewrite tan2t as sin2t/cos2t first. cos(2*0) won't cause a problem, but the t and sin2t will. See if you can get it to look like sin2t/t.
     
  4. Sep 29, 2009 #3
    lim= 2*t*2*t*2*t*cos32t/2*sin2t*2*sin2t*2*sin2t\


    so all the 2*t cancel the sin2t leaving cos32t/2*2*2 so limit=1/6

    is this correct??
     
  5. Sep 29, 2009 #4
    2*2*2=8, not 6. :wink:
     
  6. Sep 29, 2009 #5
    haha ya wow. :)
     
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