Solve the following equation on the interval [0,2 / pi)

Cot (3x) = / sqrt{3}

Cot (3x) = 3^ (1/2)

cot (x) = cos (x) / sin (x)

cot (3x) = cos (3x) / sin (3x)

look at a unit circle chart

find a value for cos that has sqrt (3) in it

which one will reduce so that the cos/sin will equal sqrt (3) ?

pi/6 radians

now cot (3x) implies that x is one third this value

pi/18 is the answer