Final answer:
The reciprocal of cot(θ) is tan(θ).
Step-by-step explanation:
The reciprocal of cot(θ) is tan(θ).
To understand this, we need to know the relationship between cotangent and tangent. Cotangent is the ratio of the adjacent side to the opposite side in a right triangle, while tangent is the ratio of the opposite side to the adjacent side. In other words, cot(θ) = 1/tan(θ).
For example, if θ is an angle in a right triangle and cot(θ) = 2, then tan(θ) = 1/2.