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.

Related to This Article
More math articles
- The Best Grade 6 ELA Practice Tests for Alabama Students
- The Best Grade 3 ELA Practice Tests for New Jersey Students
- How to Simplify Polynomials? (+FREE Worksheet!)
- 4th Grade NHSAS Math Worksheets: FREE & Printable
- The Best Grade 3 Math Book for Alabama Students
- The Best Grade 7 ELA Practice Tests for Texas Students
- Billionaire Basics: How to Master Addition and Subtraction of Massive Whole Numbers
- The Best Algebra 1 Book for Arkansas Students
- How to Use Models to Compare Fractions?
- Best Smartphones For Math Students


















What people say about "How to Graph the Cotangent Function? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.