cot is a short way to write 'cotangent'. This is the reciprocal of the trigonometric function 'tangent' or tan(x).
Therefore, cot(x) can be simplified to 1/tan(x).
Using trigonometric rules, an alternative way to write 1/tan(x) is cos(x)/sin(x).
So cot(x) = 1/tan(x) = cos(x)/sin(x)