How to Graph Inverse of the Cosine Function?
The inverse of cosine is one of the inverse trigonometric functions. In this guide, you will learn more about the inverse of the cosine function and graph it.

A step-by-step guide to graphing the inverse of the cosine function
The inverse cosine function is the inverse of the cosine function. \(cos\) inverse \(x\) can also be written as \(\:arccos\:x\). If \(y=cos\:x\:⇒\:x=cos^{-1}\left(y\right)\)
Since the domain and range of the inverse \(cos\) function are \([-1, 1]\) and \([0, π]\), respectively, we will plot the graph of cos inverse x on the main branch. As we know the values of the \(cos\) function for certain angles, we use the same values to plot the points and thus the inverse \(cos\) graph. For \(\:y=cos^{-1}x\), we have:
- When \(x = 0\rightarrow\) \(y = \frac{π}{2}\)
- When \(x = \frac{1}{2}\rightarrow y = \frac{π}{3}\)
- When \(x = 1\rightarrow y = 0\)
- When \(x = -1\rightarrow y = π\)
- When \(x = -\frac{1}{2}\rightarrow y = \frac{2π}{3}\)

Related to This Article
More math articles
- The Ultimate Precalculus Course
- 4th Grade Common Core Math Practice Test Questions
- How to Find Vague Limits by Change of Function’s Value
- The Ultimate 7th Grade MEA Math Course (+FREE Worksheets)
- Fraction Wizardry: How to Multiply Fractions and Whole Numbers
- 10 Most Common 5th Grade FSA Math Questions
- The Ultimate 7th Grade NYSTP Math Course (+FREE Worksheets)
- Introduction to Matrix Inverse
- How to Navigating Complex Scenarios: Multi-step Word Problems with Remainders
- How to Do Multiple Ways of Fractions Decomposition
What people say about "How to Graph Inverse of the Cosine Function? - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.