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Trig General Solution

  1. Sep 10, 2009 #1
    1. The problem statement, all variables and given/known data
    Solve for x using general solution
    sin2x = 0.5



    2. Relevant equations
    sin2x= 2sinxcosx


    3. The attempt at a solution
    arcsin0.5 = 2x
    2x = 30 degrees + k360
    x = 15 degrees + k180.

    Or

    2x = (180-30) + k360
    2x = 150 + k360
    x = 75 + k180
     
  2. jcsd
  3. Sep 10, 2009 #2
    Using the arcsine is dangerous since you miss solutions in the second quadrant.

    sin2x = 1/2 ==> 2x = 30º + k360º or 150º + k360º

    Continue from there.

    --Elucidus
     
  4. Sep 10, 2009 #3
    2x=arcsin(0.5)+2kп

    2x=п-arcsin(0.5) +2kп
     
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