# How to Graph the Cotangent Function?

Cotangent is one of the trigonometric ratios. In this step-by-step guide, you will learn more about the graph of the cotangent function.

**Step-by-step guide to** **graphing the cotangent function**

Cotangent is one of the basic trigonometric ratios. It is usually represented as \(cot x\), where \(x\) is the angle between the base and the hypotenuse of a right triangle. Alternative names of cotangent are cotan and cotangent \(x\).

The cotangent formula is:

\(\color{blue}{cot\:θ=\frac{Adjacent\:side}{Opposite\:side}}\)

Since the cotangent function is **not** defined for integer multiples of \(π\), the vertical asymptote exists at all multiples of \(π\) in the cotangent graph. Also, the cotangent is \(0\) at all odd multiples of \(\frac{π}{2}\). Also, in an interval say \((0, π)\), the values of the cot decrease as the angles increase. So \(cot\) is a decreasing function. Then, the graph of the cotangent function looks like this.

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