How to evaluate sec ( π 3 ) ?

Question

How to evaluate             sec              (                  π          3                )            ?

Vincent Burke · Accepted Answer

sec      x        =          1              cos        x                  ⇒          sec              (                  π          3                )              =          1              cos                  (                      π            3                    )                    Using the             π      3        ,          π      6        ,          π      2                     triangle             with sides of length 1 ,            3                     and               2  We can determine              cos              (                  π          3                )              =          1      2       with accuracy.Therefore,      ⇒          sec              (                  π          3                )              =          1                        1          2                      =    2

How to evaluate sec ( π 3 ) ?

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