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Find all solutions of the equation correct to two decimal places

  1. Aug 29, 2011 #1
    1. The problem statement, all variables and given/known data
    Find all solutions of the equation correct to two decimal places.
    tan x = [itex]\sqrt{4 − x^2}[/itex]


    2. Relevant equations



    3. The attempt at a solution
    I squared both sides, giving me tan^2x = 4 - x^2, but I don't know where to go from there.
     
  2. jcsd
  3. Aug 29, 2011 #2

    Ray Vickson

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    Science Advisor
    Homework Helper

    (1) Draw a (rough) graph of tan x and of sqrt(4-x^2) on the same plot. This will give you
    an approximate solution.
    (2) If necessary, correct the rought solution from (1) using Newton's method, for example (among many, many possible available methods).

    RGV
     
  4. Aug 29, 2011 #3
    I wasn't sure what I was supposed to do when I posted this. Thank you for clarifying, I used a graphing calculator and got the answer.
     
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