# 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 tographing 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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