Find all values of t in the interval 0 2 satisfying the give

Find all values of t in the interval [0, 2] satisfying the given equation. (Enter your answers as a comma-separated list.)

(4 cot t)² = 48

Solution

given (4 cot t)^2 = 48

so (4cot t) = sqrt(48)

(4cot t) = sqrt(16*3)

(4cot t) = 4 *sqrt(3)

cot t = sqrt(3)

so t =/6, 2 -/6

t =/6 ,11/6