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Sin theta= sin theta tan theta

  1. Jan 18, 2014 #1
    Problem statement
    Solve each equation over the domain theta greater than or equal to 0, less than or equal to 2 pi:

    Sin theta= sin theta tan theta

    Revelant equations

    Problem statement

    I divided it by sin theta to get tan theta equal to 1. Tan theta=1 can occur in the first and third quadrant. So from there I solve accordingly. Is this right?
     
  2. jcsd
  3. Jan 18, 2014 #2
    What about the sinθ?
     
  4. Jan 18, 2014 #3

    Mark44

    Staff: Mentor

    No.
    When you divide both sides by sinθ, you lose solutions. Instead, rewrite the equation like so -
    sinθ - sinθ tanθ = 0
    and then factor the left side.
     
  5. Jan 18, 2014 #4
    Oh... I see it now.
     
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