How to use the unit circle to find the value of the trigonometric function tan pi/6?

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Anya Rice · Accepted Answer

The point associated with             π      6       on the unit circle is             (                                    3                          2            ,              1        2            )      .  All points on the unit circle are of the form             (              cos                  (          θ          )                    ,              sin                  (          θ          )                    )      . By the ratio identity             tan              (        θ        )              =                  sin                  (          θ          )                            cos                  (          θ          )                    , so             tan              (                  π          6                )              =                  sin                  (                      π            6                    )                            cos                  (                      π            6                    )                      =                            1          2                                                                3                                2                      =          1                        3                      =                            3                    3      If you aren&#039;t allowed to utilize the ratio identity, you could create a triangle by making the angle       θ   through             π      6       between the x-axis and the radius, and then apply             tan              (        θ        )              =                  o        p        p        o        s        i        t        e                    a        d        j        a        c        e        n        t

How to you use the unit circle to find the value of the trigonometric function tan pi/6?

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