For an acute angle $\theta$ of a right triangle, the cotangent of $\theta$ is the ratio between the lengths of the adjacent side and the opposite side. The cotangent of $\theta$ is written as $\cot \theta .$ This trigonometric ratio states the ratio between the adjacent side to a certain angle and the opposite side to the angle. It gives no indication about the lengths of the sides. When the adjacent side and the opposite side lengths for a given angle change, if their ratio stays the same, then the cotangent, too, would stay the same. In addition, note that the cotangent of $\theta$ is also the reciprocal of the tangent of $\theta .$