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Solve the Equations

  1. Mar 25, 2016 #1
    1. The problem statement, all variables and given/known data
    Hi Could somebody please check my working to see if I have solved the following equations properly?

    2. Relevant equations
    1) cos2θ = sin θ
    2) sin 2θ - 1 = cos2θ


    3. The attempt at a solution
    Scanned working attached
     

    Attached Files:

  2. jcsd
  3. Mar 25, 2016 #2

    epenguin

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    Looked okay to me on quick look.

    It is easy for you to check whether the results are correct! Just see if they work.

    It is pretty obvious they are the only solutions. But if there were ever any doubt in a problem like this, you need only do a graph from 0 to 360°.
     
  4. Mar 26, 2016 #3

    ehild

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    Check if all your results are solutions.
    It would have been easier to substitute cos(2θ) with 2cos2(θ)-1.
     
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