cot(θ) = 1/tan(θ)
The equation cot(θ) = 1/tan(θ) expresses a fundamental relationship in trigonometry. Here, cotangent (cot) and tangent (tan) are two of the six primary trigonometric functions. The cotangent of an angle θ is defined as the ratio of the adjacent side to the opposite side in a right triangle, while the tangent is the ratio of the opposite side to the adjacent side.
This relationship shows that cotangent is the reciprocal of tangent. Therefore, if you know the value of tan(θ), you can easily find cot(θ) by taking its reciprocal, and vice versa. This property is useful in various mathematical applications, including solving triangles and analyzing periodic functions.