Answer the following questions about the inverse trigonometric functions
MATHEMATICS · Multi-part · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions
Problem
Answer the following questions about the inverse trigonometric functions y=arcsinx, y=arccosx and y=arctanx.
(i) State the domain and range of each of the three functions.
(ii) Describe whether each function is increasing or decreasing on its domain.
(iii) Compare the end–behaviour of the three graphs, mentioning any horizontal asymptotes that arise.