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
- FREE 7th Grade ACT Aspire Math Practice Test
- FREE 5th Grade FSA Math Practice Test
- How to Unlock the Secrets of Success: “ISEE Upper Level Math for Beginners” Solution Guide
- How to Solve Multi-step Word Problems for Finding Starting and Ending Times
- Top 10 7th Grade NYSE Math Practice Questions
- 7th Grade DCAS Math Worksheets: FREE & Printable
- How to Find Limits at Infinity
- Using a Fraction to Write down a Ratio
- Algebra Puzzle – Challenge 39
- 10 Most Common 5th Grade STAAR Math Questions
What people say about "How to Graph the Cotangent Function? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.