Question

what is the exact value of cot pi/3

Answer 1

do you know the value of sin or cos or tan pi/3?

Answer 2

\[\cot(\phi) = \frac{ 1 }{ \tan(\phi) } = \frac{ 1 }{ \frac{ \sin(\phi) }{ \cos(\phi)} } = \frac{ \cos(\phi) }{ \sin(\phi) }\]

Answer 3

cos(pi/3) = 1/2
and
sin(pi/3) = sqrt(3) / 2