How do you find the correct answer I keep getting 2pi3 but t

Find the exact value, in radians, of the expression. 2 cot (Type an exact answer using numbers in the expression) as needed. Use integers or fractions for any

Solution

cot^-1(sqrt(3)/3)

Let y = cot^-1(sqrt(3)/3)

coty = sqrt(3)/3

tany = 3/sqrt3 = sqrt3

y = tan^-1(sqrt3)

Range of tan^-1x lies in interval [ -pi/2 , pi/2]

So, y = tan^-1(sqrt3) = pi/3