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Trigonometric equations with sin and cot

  1. Mar 13, 2012 #1
    1. The problem statement, all variables and given/known data
    find the value(s): cot(2sin^(-1) 2/7)



    3. The attempt at a solution

    I solved for sine by drawing a unit circle and the angle. I used the given values of 2 for the y value and 7 for the r value(hypotenuse). By using the pythagorean theorem I found the x value which, for me, came out to 4 sqrt(3). From the x value I was able to find the cosine. Since cotangeant is cosine/ sine I solved for that to get my exact value but it did not come out to the correct answer.
    I think it had something to do with the (2 sin) in the equation. I am not sure exactly what to do when an equation gives me a number times sine.
     
    Last edited by a moderator: Mar 13, 2012
  2. jcsd
  3. Mar 13, 2012 #2
    [itex]\frac{1}{tan(\frac{2}{sin(2/7)})}[/itex] ?
     
  4. Mar 13, 2012 #3

    Mark44

    Staff: Mentor

    I get 3√5, not 4√3.
     
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