If

f left parenthesis theta right parenthesis equals 3 tangent theta plus cosine 2 theta commaf()=3tan+cos2,

find

f left parenthesis StartFraction pi Over 6 EndFraction right parenthesis .f6.

Do not use a calculator and express each exact value as a single fraction.

f left parenthesis StartFraction pi Over 6 EndFraction right parenthesisf6

= enter your response here

(Type an integer or a simplified fraction. Type an exact answer, using radicals as needed. Rationalize the denominator.)