Inverse Trigonometric Functions

Inverse Trigonometric Functions

We now study the inverse of trigonometric functions. Owing to the periodic nature these functions are not one-to-one functions. Thus their domains have to be suitably restricted so as to determine their inverses. Once this is done we can solve trigonometric equations using inverse functions.


  • General properties of a one-to-one function and its inverse
  • Domain, Range and fundamental cycle graphs of the six trigonometric functions
  • Given the graph of a function draw the graph of the inverse.

Learning Objectives:

  • The arcCosine and arcSine functions
  • The arcTangent and arcCotangent functions
  • The arcSecant and arcCosecant functions
  • Domain, range and graphs
  • Solving trigonometric equations.