Evaluate tan 300° without using a calculator by using ratios in a reference triangle. negative square root of three square root of three divided by three square root of three negative square root of three divided by three

300 - 270 = 30

so the angles is in the third quadrant  and  adjacent and opposite side are negative so  tan 300 = tan 30  = 1 / sqrt3 = sqrt3 / 3

square root of three divided by 3