Skip to main content
Search IntMath

Inverse trigonometric function graph animations


On the previous page, 7. The Inverse Trigonometric Functions, we learned that the graph of an inverse trigonometric function is the reflection of the original curve in the line y = x.

The animations below demonstrate this better than words can.

Things to do

You can choose any or all of the functions that we came across in the previous page, and view the original function, and what it looks like when reflected:

  1. y = cos x and its inverse, y = arccos x
  2. y = sin x and its inverse, y = arcsin x
  3. y = tan x and its inverse, y = arctan x
  4. y = sec x and its inverse, y = arcsec x
  5. y = csc x and its inverse, y = arccsc x
  6. y = cot x and its inverse, y = arccot x
  7. y = cot x and its inverse, y = arccot x (2)

The last one, y = arccot x, is listed twice because there are two possible interpretations of this graph, as we learned here. Also, don't miss the article on this, Which is the correct graph of arccot x?

NOTE: The word "inverse" here does not mean "reciprocal".

The graph animations

Choose function:

Copyright © Frame rate: 0

Return to 7. The Inverse Trigonometric Functions.

Problem Solver

AI Math Calculator Reviews

This tool combines the power of mathematical computation engine that excels at solving mathematical formulas with the power of GPT large language models to parse and generate natural language. This creates math problem solver thats more accurate than ChatGPT, more flexible than a calculator, and faster answers than a human tutor. Learn More.

Tips, tricks, lessons, and tutoring to help reduce test anxiety and move to the top of the class.