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.
Review:
- 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.