Final answer:
The exact value of cot(5π/3) is 1/√3.
Step-by-step explanation:
The trigonometric function cot(5π/3) can be found by first evaluating the cotangent of the reference angle, which is π/3. The cotangent function is the reciprocal of the tangent function: cot(θ) = 1/tan(θ). The tangent of π/3 is √3, so the cotangent of π/3 is 1/√3.