Creating Inverse Sine and Inverse Cosine Functions

This GeoGebra example demonstrates how to dynamically construct the graphs of the inverse sine (arcsin) and inverse cosine (arccos) functions, with interactive input boxes to adjust parameters and visually explore the relationship between inverse trigonometric functions and their original sine/cosine counterparts. Core mathematical concepts include the domain and range of inverse trigonometric functions, symmetry of function graphs, and the correspondence of angles on the unit circle. The construction uses GeoGebra commands such as If, Point, Numerator, Denominator, SurdText, Textfield, and CurveCartesian, along with objects like k, f, eq1, A, B, a, b, c, d, text3, text1, text4, e, InputBox1, text2, g, C, h, D, p, i, j, InputBox2, text5, l, and m. It is suitable for high school or pre-university students learning trigonometric functions and their inverses, and can be used by teachers for classroom demonstrations or by students for self-directed exploration of inverse trigonometric properties.