Inverse Trigonometry

Inverse Trigonometric Functions involves the study of the restricted domains and ranges required to define the inverse relations of sine, cosine, and tangent as true functions. This topic focuses on the graphical properties of inverse sine, cosine, and tangent, emphasising their asymptotes, intercepts, and points of inflection. Students learn to manipulate and prove inverse trigonometric identities and solve equations by applying algebraic transformations within the defined principal value ranges. The curriculum prioritizes the relationship between a function and its inverse reflected across the line y=x and the application of these functions to calculus and geometric modeling.