Study Chapter Details

UP Board Class 12 Mathematics – Inverse Trigonometric Functions

The chapter Inverse Trigonometric Functions introduces students to the inverse of basic trigonometric functions such as sin?¹x, cos?¹x, tan?¹x, and others. These functions help in solving equations where the value of the trigonometric ratio is known, and the angle needs to be determined. This concept is especially important in calculus, integration, differentiation, and higher-level mathematics.



Students learn about the principal value branches of inverse trigonometric functions, their domains, ranges, and fundamental properties. Graphs of inverse trigonometric functions are also covered to build visual understanding. Additionally, the chapter explains various identities and transformations that simplify complex expressions.

The topic is widely used in engineering, physics, and mathematical problem-solving. Mastering inverse trigonometric functions helps Class 12 students boost accuracy and confidence in competitive exams like JEE and UP-based entrance tests.