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Math Help - Values of tan

  1. #1
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    Values of tan

    What values does x have?

    tanx=(-square root 3) / 3

    x1 = ?
    x2 = ?

    Thank you!
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  2. #2
    Super Member

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    Hello, carbonite!

    What values does \theta have? . \tan\theta \:=\:-\frac{\sqrt{3}}{3}
    You're expected to know the trig values for 30 60, and 45.
    . . Or be able to figured them out . . .

    We have: . \tan\theta \:=\:-\frac{1}{\sqrt{3}} \:=\:\frac{opp}{adj}


    This could arise from two possible situations . . .
    Code:
             *
             :\
           _ : \
          √3 :  \
             :   \ θ
          ---+----*-------
               -1
    And we see that: . \theta_1 \:=\:120^o \:=\:\tfrac{2\pi}{3}



    Code:
                  |
                  |
                  |  1
              ----*----+-------
                  |\θ  :   _
                  | \  : -√3
                  |  \ :
                  |   \:
                  |    *
    And: . \theta_2 \:=\:\text{-}\;\!60^o \:=\:\text{-}\tfrac{\pi}{3}

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