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
- How to Write and Solve Direct Variation Equations
- How to Solve Non-Right Triangles Problems
- What Kind of Math Is on the CHSPE Test?
- Full-Length PSAT 10 Math Practice Test-Answers and Explanations
- FREE 8th Grade Georgia Milestones Assessment System Math Practice Test
- Top Math Strategies for Better Scores on the GRE
- 6th Grade OST Math FREE Sample Practice Questions
- Top 10 Tips to Overcome ASVAB Math Anxiety
- The Ultimate Common Core Algebra 1 Course (+FREE Worksheets)
- How to Instill in Your Child a Love of Math at School: Tips for Parents
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.