Simplify the trigonometric expression. \[ \frac{\csc (x)-\sin (x)}{\cot (x)} \]

Step 1 ：Given the trigonometric expression \(\frac{\csc (x)-\sin (x)}{\cot (x)}\)

Step 2 ：Convert all trigonometric functions to their basic forms. The basic forms of trigonometric functions are sine, cosine and tangent. Here, cosec(x) is the reciprocal of sin(x) and cot(x) is the reciprocal of tan(x).

Step 3 ：So, we can rewrite the expression in terms of sin(x) and tan(x) as \((-\sin(x) + \frac{1}{\sin(x)})\cdot \tan(x)\)

Step 4 ：Simplify the expression to get \(\cos(x)\)

Step 5 ：Final Answer: The simplified form of the given trigonometric expression is \(\boxed{\cos(x)}\)