Inverse trigonometric functions are typically introduced in Class 12.
This is when students are learning advanced trigonometry concepts as part of their pre-calculus or calculus curriculum. They build upon the basic trigonometric ratios learned in earlier grades (usually around grades 9-11) and delve into the properties and applications of inverse trigonometric functions like arcsin (sin⁻¹), arccos (cos⁻¹), and arctan (tan⁻¹).
The topics covered usually include:
- Definition and notation of inverse trigonometric functions.
- Domain and range of each inverse trigonometric function.
- Graphs of inverse trigonometric functions.
- Principal values of inverse trigonometric functions.
- Properties of inverse trigonometric functions and related identities.
- Applications in solving trigonometric equations and problems.
Therefore, while some preliminary trigonometric concepts might be touched upon earlier, a detailed study of inverse trigonometric functions usually occurs in Class 12.
